a rocket started at rest.after initiating the launch,it had an acceleration of 90m/s2.how long did it take to reach a speed of 2430 m/s2

Answers

Answer 1

The time taken for the rocket to reach a speed of 2430m/s from rest is 27.0 seconds.

What is the time taken for the rocket to reach a speed of 2430m/s?

Motion is simply the change in position of an object over time.

From the First Equation of Motion;

v = u + at

Where v is final velocity, u is initial velocity, a is acceleration and t is time elapsed.

Given the data in the question;

Since it starts from rest, Initial velocity u = 0m/sFinal velocity v = 2430m/sAcceleration a = 90m/s²Elapsed time t = ?

To determine the time, substitute the given values into the formula above and solve for t.

v = u + at

2430m/s = 0 + ( 90m/s² × t )

2430m/s = 90m/s² × t

t = 2430m/s / 90m/s²

t = 27.0s

Therefore, the elapsed time is 27.0 seconds.

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Answer 2

A rocket launched with an acceleration of 90 m/s², and a final speed of 2430 m/s. So the time required to reach the final speed is 27 seconds.

What is acceleration?

The ratio of change in velocity to time is referred to as acceleration. It has a SI unit m/s² with dimension formula MLT⁻².

According to the question, the given values are,

Final velocity, v = 2430 m/s

Initial velocity, u = 0 m/s

The acceleration is given as, a = 90 m/s².

Use the equation of motion to find the time required to reach the final speed,

v = u + at

2430 = 0 + ( 90 × t )

2430 = 90 × t

t = 2430 / 90

t = 27.0 seconds.

Hence, the time taken to reach the final speed is 27 seconds.

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Related Questions

A bird flies at 10m * s ^ - 1 for 3s, 15m * s ^ - 1 for 3s, and 20m * s ^ - 1 for 4 Calculate the birds's average speed. A 4.5m * s ^ - 1 B 15m * s ^ - 1 C 15.5m * s ^ - 1 D 51.7m * s ^ - 1​

Answers

The bird's average speed when he flies 10 m/s for 3 s, 15 m/s for 3s and 20 m/s for 4 s is 15.5 m/s. The right option is C 15.5 m/s

What is average speed?

Average speed can be defined as the ratio of the total distance to the total time traveled by an object.

To calculate the average speed of the bird, we use the formula below.

Formula:

S = Total distance/total timeS = s₁t₁+s₂t₂+s₃t₃/(t₁+t₂+t₃)............. Equation 1

From the question,

Givne:

s₁ = 10 m/st₁ = 3 ss₂ = 15 m/st₂ = 3 ss₃ = 20 m/st₃ = 4 s

Substitute these values into equation 1

S = [(10×3)+(15×3)+(20×4)]/(3+3+4)S = (30+45+80)/10S = 155/10S = 15.5 m/s

Hence, the average velocity of the bird is 15.5 m/s.

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A race car speeds up from 0 m/s to 40.0 m/s in 4 seconds. What is the vehicle's acceleration?

A. 16 m/s²
B. 10.0 m/s²
C. 4.0 m/s²
D. 8.0 m/s²

Answers

Answer: b) 10.0 m/s

Explanation: Acceleration = [tex]\frac{v-u}{t}[/tex]

V-U
 T

v= final velocity
u= initial velocity
t= time in secs

Answer:

ur mom go study nerd u for real

a box of books with mass 40 kg rests on the level floor of the campus bookstore. the floor is freshly waxed and has negligible friction. a bookstore worker applies a constant horizontal force with magnitude 25 n to the box. what is the magnitude of the acceleration of the box?

Answers

The magnitude of the acceleration of the box is  = 0.625 m/s²

Friction is the pressure resisting the relative movement of strong surfaces, fluid layers, and material elements sliding in opposition to each other. There are numerous kinds of friction: Dry friction is a pressure that opposes the relative lateral motion of strong surfaces in touch.

Pressure is a power that could exchange the movement of an object. A pressure can reason an item with mass to alternate its speed, i.e., to boost up. pressure also can be defined intuitively as a push or a pull. A force has each magnitude and course, making it a vector amount.

Acceleration is the price of trade of the rate of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by way of the orientation of the net force performing on that object.

Force = mass × acceleration

acceleration = force / mass

                       = 25 / 40

                       = 0.625 m/s²

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a 20kg is pulled along a horizontal surface by a fp of 50.on applied at 25 degrees angle above the horizontal. consider friction, and assume a coefficient of kinetic friction of 0.20. calculate the acceleration

Answers

The net acceleration of the block is about -2.04m/s².

The mass of the block is 20Kg. The force applied is 50 N and the angle at which the force is applied is 25°. The coefficient of friction is 0.20.

When the block will be pulled along horizontal by applying Force fat an angle A, then there will be two components of force one along vertical fsinA and one along horizontal fcosA.

The friction will be in opposite direction,

So, we can say, the net Force F on the block is,

F = Fr - fcosA

Ma = uN -fcosA

Where,

a is the acceleration of the block,

M is the mass of the block,

N is the normal force,

f is the applied force and,

u is the coefficient of friction.

Putting all the values,

20(a) = 0.2(50)sin(25°) - 50cos(25°)

20a = 0.2(0.42)(50)-50(0.9)

20a = 4.2 - 45

20a = 40.8

a = -2.04m/s².

The net acceleration of the block is -2.04m/s².

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A student placed two magnets 5cm apart for a lab experiment. after completing two trials of the experiment, she leaves. when she returned, she noticed her magnets were moved just a little but decided to continue working with them anyway. after trying her 3rd trial of the lab, her magnets did not work. what happened?

Answers

The third trial of the lab experiment did not work out because in most probability the magnets lost their magnetic properties or got demagnetized.

Demagnetization is the phenomenon by which magnets lose their magnetic property or are weakened. We see that the magnets moved just a little after she left them after the first two trials of her experiment. It is possible that because the magnets moved a little they repelled each other and this only happens when like poles face each other.

The demagnetizing field of one magnet will affect the other and vice versa because their magnetic fields are opposite in direction. Consequently, magnetic field strength weakens gradually. Thus the magnets did not work after the 3rd trial.

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Hello! I am currently trying to answer this question. Could you provide the steps to help me solve it?

Answers

Given:

The length of the pipe is L.

The third harmonic has teh wavelength,

[tex]\frac{2L}{3}[/tex]

To find:

The type of the pipe

Explanation:

The wavelength of the harmonics for a pipe closed at one end is,

[tex]\lambda=\frac{4L}{2n-1}[/tex]

The wavelength of the harmonics for a pipe open at both the ends is,

[tex]\lambda=\frac{2L}{n}[/tex]

Here,

[tex]n=1,\text{ 2, ......}[/tex]

The given wavelength is,

[tex]\frac{2L}{3}[/tex]

which resembles the form,

[tex]\frac{2L}{n}[/tex]

Hence, the pipe is open at the other end.

can someone help me !!

Answers

Answer: (A)

Explanation: the answer will be A because a force is acting on the block from the right side to the left side and another from the bottom upwards. So the two forces together will make the block move diagonally to the left. There is no force in the opposing direction of these two force.  B is wrong as there is no force acting on the left side. C is wrong as there is no force acting downward. D is wrong as there is no force acting to the right and from above

at the spinal tap concert in deware fieldhouse, nigel turns his guitar amp up to 11, blowing out the inductor on the subwoofer. what value of inductor would you grab from the lab if the speaker resistance is 4ohms and only frequencies below 250hz are desired? the speaker is a resistor.

Answers

The load a speaker provides on an amplifier is referred to as speaker impedance. That is, in fact, the result of speaker impedance.

Speaker impedance is defined as the "resistance" a speaker provides to the current delivered by an amplifier in technical terms.

The resistance is known as impedance because an amp's output current is AC (as opposed to DC, like from a battery), not DC. To be completely technical, impedance is the result of adding any reactance present in an AC circuit to DC resistance.

Just keep in mind that speaker impedance impacts how much current is drawn from the amplifier without getting too technical.

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Which theoretical physicist, cosmologist, and author said, "however difficult life may seem, there is always something you can do and succeed at"?.

Answers

Stephen Hawking, speaking at the opening of the 2012 London Paralympics games, said, “There is no such thing as a standard run-of-the mill human being and however difficult life may seem but there is always something you can do, and succeed at.”

Stephen Hawking was born on 8th January, 1942, Oxford, England. He died on March 14, 2018, Cambridge. He was that theoretical physicist whose theory of exploding black holes drew upon both relativity theory and quantum mechanics. He had also worked with space-time singularities.

Hawking was also awarded the US Presidential Medal of Freedom in year 2009.

At the age of 21, Hawking was diagnosed with amyotrophic lateral sclerosis that gradually paralyzed him. Stephen Hawking had an estimated IQ of 160. According to Healthline, 68% of people have an IQ that ranges between 85 and 115.

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If Earth's circumference at the
equator is 40,070 km, what is the
speed of the stationary satellite
GOES above the equator in km/
hour? (Use the formula: Speed =
Distance/Time)

Answers

The stationary satellite crosses the equator at a speed of 1180 kilometres per hour.

How does speed at the equator get calculated?

At the equator, where the Earth's circumference is 40,070 kilometres and the day lasts for 24 hours, the speed is 1670 kilometres per hour (1037 miles per hour). This slows down by the latitude's cosine, so at a latitude of 45 degrees, cos(45) =. 707, and the speed is. 707 x 1670 = 1180 kilometres per hour.

How fast would a student travelling at the equator while seated on Earth's surface?

The daily motion felt on our earth is brought on by this spinning. You would move at almost 1,000 miles per hour (1,600 km/hr) if you were standing on the equator of the Earth, but your pace would slow down if you started moving in the direction of the North or South Poles.

A latitude of 45 degrees, cos(45) =. 707, and the speed is. 707 x 1670 = 1180 kilometres per hour.

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a 21.6 gram arrow is shot through a 7.5 cm apple. if the arrow enters the apple at 35.5 m/s and emerges with a speed of 25.3 m/s in the same direction, what is the magnitude of the force with which the apple has resisted the arrow? (assume force is exerted only on the tip of the arrow)

Answers

The magnitude of the force with which the apple has resisted the arrow is 88.06 Newton.

Using, work-energy theorem,

According to which, the work done by the all the forces on the body is equal to the change in kinetic energy of the body.

So, we can write,

Work done = ∆KE

We know,

Work done = force × displacement

The force is the resistive force by the apple and the displayed is given to be 0.075 meters.

So, we can write,

F(0.075) = 1/2M(V²-U²)

Where,

M is the mass of apple,

V is final velocity,

U is initial velocity.

Putting all the values,

F(0.075) = 1/2(0.0213)((25.3)²-(35.5)²)

Solving further,

F = 88.06 Newton

The resistive force of the apple is 88.06 Newton.

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a site was measured to have an average wind velocity of 5.2 m/s at 13m above ground. if the surface roughness exponent is assumed to be 0.23, what will the predicted wind velocity be at 32m above ground?

Answers

The wind velocity at 32 m above the ground is 6.39m/s when the roughness exponent of the surface is 0.23

Given in the problem is

Wind velocity at 13m above the ground v1 =5.2 m/s

Height initially h1 = 13m

height at which wind velocity is to be predicted h2= 32m

surface roughness exponent α = 0.23

Let velocity to be predicted be v2

We know that from the formula

v2= v1*(h2/h1)^α

⇒v2= 5.2 * (32/13)^ 0.23 = 6.39 m/s

Thus the wind velocity at 32m above the ground is 6.39m/s

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PLEASE HELP ME!
What holds the protons together in the nucleus?


A. electrons


B. anions


C. cations


D. neutrons

Answers

Answer:

neutrons.........................

What is the main reason sea level is rising?

A: Ice Melting
B: Thermal Expansion

Answers

The main reason for the sea level rise is the melting of the ice, as the icebergs are melting due to the increase in the average temperature of the earth, therefore the correct answer is option A.

What is thermal energy?

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

Thermal expansion is unrelated to the sea level rising.

Since icebergs are melting due to an increase in the earth's average temperature, melting ice is the primary cause of sea level rise, therefore the correct answer is option A.

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10. Unless a light ray comes into contact with a surface or enters a different material, it travels in a​

Answers

Unless a light ray comes into contact with a surface or enters a different material, it travels in a​ straight line.

When light enters a medium with a different speed or transitions from a fast to a slow medium, refraction occurs. According to Snell's law, if a light ray is incident ordinarily on the surfaces, then deviating from the normal will always lengthen the travel time.

Theoretically, sine (angle of incidence)*index of refraction of the incident media = sine (angle of refraction)*index of refraction of the refractive medium

Sine (0)=0 because the angle of incidence is 0 degrees.

As a result, the light ray will travel straight.

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What is the magnitude of the force that must be applied for the system below to be balanced?

Answers

Answer:

20 N

Explanation:

logically it'd be 20 N due to the fact that it's a rectangular shape. You pretty much look at the counterpart and copy and paste it to the other side.

Q3. A 3500 kg van hits a 2500 kg car with a force of 1480 N [E].
a) What force does the van experience?

Answers

The force experience by a van of 3500 kg when it hits a car of 2500 kg with a force of 1480 N is 1057.14 N.

What is force?

Force can be defined as the product of mass and acceleration.

To calculate the force experienced by the van, we use the formula below

Formula:

f = mF/M..................... Equation 1

Where:

M = Mass of the vanm = Mass of the carf = Force on the carF = Force on the van

From the question,

M = 2500 kgm = 3500 kgF = 1480 N

Substitute these values into equation 1

f = (2500×1480/3500)f = 1057.14 N.

Hence, the force experience by the van is 1057.14 N.

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Exciting the electrons in an iron increases the energy in the iron atom which can cause heating how might a magnetic field be used to excite electrons in atoms

Answers

Magnetic fields can be used to excite electrons in atoms because a magnetic field can pull or push electrons.

What is the effect of magnetic field on electron?

Magnetic fields pull and push electrons which leads to the excitation of electrons. Metals have electrons that are loosely held together. Moving a magnet around a coil of wire around a magnet pushes the electrons in the wire that creates an electrical current. The magnetic force will not change the speed of an electron because the magnetic force is always perpendicular to the speed. Current in these coils causes the deflection of the electrons that is perpendicular to the magnetic field which is to the direction of the electrons.

So we can conclude that magnetic fields can pull or push electrons so that a magnetic field can be used to excite electrons.

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PLEASE HELP 50 POINTS AND MARKED AS BRAINLIEST

A spring scale is a device that uses a spring with a known spring constant to measure the weight of objects. You have a spring scale with a spring constant of 13 Nm. How much will the spring stretch when a 12-N weight is hung from one end?​

Answers

Answer:

It would stretch about 6 inches, but it depends on the metal.

Explanation:

pls mark brainliest with the crown

a step-up transformer has a primary coil with 150 loops and a secondary coil with 2000 loops. if the primary coil is supplied with a household current of 120 v and 15 a, what voltage is produced in the secondary current?

Answers

Voltage produced in the secondary voltage is 1,600 V

What is a current transformer (C.T.) ?

A current transformer (C.T.) is a type of "transducer" that produces an alternating current in a secondary winding that is proportional to the current sensed in the primary winding. Current transformers reduce high voltage currents to much lower values ​​and provide a convenient way to safely monitor the actual current flowing in AC transmission lines using a standard ammeter. The working principle of a simple current transformer is slightly different from that of a normal voltage transformer. To calculate voltage in the secondary coil:

N₁/N₂ = V₁/V₂

where;

N₁ is number of turns in primary coil

N₂ is number of turns in secondary coil

V₁ is voltage in primary coil

V₂ is voltage in secondary coil

Now for the given case,

150/2000 = 120/V₂

V₂ = (120 x 2000)/150

V₂ = 1,600 V

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A force of 30 N to the right is applied to an object. An opposite force of 20 N to the left is applied to the same object. What is the net force applied to the object?

A. 10 N to the left
B. 50 N to the right
C. 50 N to the left
D. 10 N to the right

Answers

The net force on an object if a  force of 30 N to the right is applied to an object. An opposite force of 20 N to the left is applied to the same object is 10 N to the right. And the right option is D.

What is net force?

The net force is the vector sum of all the forces that act upon an object.

To calculate the net force applied to the object, we use the formula below.

Formula:

F = Fa-Fb................. Equation 1

Where:

F = Net force applied to the object.Fa = Force applied to the rightFb = Force applied to the left

From the question,

Given:

Fa = 30 N to the rightFb = 20 N to the left

Substitute these values into equation 1

F = 30-20F = 10 N to the right.

Hence the right option is D. 10 N to the right.

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if an aircraft is in sluf and we know the weight of the aircraft, w, the wing area, s, the density and velocity, what else must we know to determine the coefficient of lift of the aircraft?

Answers

To determine the coefficient of lift of an aircraft in sluf, we must also know the angle of attack.

What is aircraft?
A vehicle that can fly by gaining support from of the air is called an aircraft. It uses either static lift, dynamic lift from an airfoil, or, in a few rare instances, the downward thrust from jet engines to counteract the force of gravity. Aeroplanes, helicopters, airships (including blimps), gliders, paramotors, as well as hot air balloons are a few examples of common types of aircraft. Aviation refers to the human activity which surrounds aircraft. Aeronautics is the study of aviation, which includes creating and building aircraft. Unmanned aerial vehicles may well be remotely controlled as well as self-controlled by onboard computers, unlike crewed aircraft that have an onboard pilot. Different factors, including lift type, aircraft propellant, usage, and others, can be used to categorise aircraft.

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a plane, diving with constant speed at an angle of 53.0o with the vertical, releases a projectile at an altitude of 730 m. the projectile hits the ground 5.00s after release. a) what is the speed of the plane?

Answers

The speed of the plane = 202m/s

What is speed ?

Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Speed is a scalar quantity since it just has a direction and no magnitude.

To make equations like Eq. immediately applicable, we accept the textbook's use of positive direction options. Directly beneath the release point, at ground level, is the coordinate origin.. The coordinate origin is at ground level directly below the release point. We write θo = −37.0degree

 for the angle measured from +x, since the angle φo = 53.0 degree

 measured in the problem is in the -y direction. The graphic below depicts the problem's basic configuration.

(A) The plane's speed at the point of release determines the projectile's initial speed. Given

that y0 = 730m and y=0 at t=5.00s,

to find v  : y−yo  =(v sinθo)t− 1/2gt^2 ⇒0.730m=v

sin(−37.0 degree )(5.00s)− 1/2(9.80m/s^2 )(5.00s) ^2

which yields v  =202m/s.

the speed of the plane = 202m/s

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Your friend wants to place an object behind the mirror to prevent the eye from seeing the image in the
mirror. Explain why this won't work.

Answers

According to the law of reflection, the light from the item cannot bounce off the mirror and reach his eye across his line of sight.

Briefing:

According to the law of reflection, the light from the item cannot bounce off the mirror and reach his eye across his line of sight. Ray is unable to see the object's reflection in the mirror because the object's light does not reach his eye.

What is law of reflection ?

The law of reflection, the angle of the reflected beam is equal to the angle of the incident ray while reflecting from a smooth surface. (In geometrical optics, all angles are usually measured in relation to the surface normal, or a line perpendicular to the surface.

How is the law of reflection used?

In physics, the rule of reflection is used to locate an image that is reflected in a mirror. One effect of a law is that if you can see someone's eyes through a mirror (or the eyes of another species), you can assume that he may see your eyes as well because of how reflection function.

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a zoologist standing on a cliff aims a tranquilizer gun at a monkey hanging from a distant tree branch. th ebarrel fo the gun is horizontla. just as the zoologigtist pulls the trigger, the monkey lets go and begins to fall. will the dark hit the monkey? neglect air resistance

Answers

The Monkey captured Bryce's spirit inside a circle of salt inside a McDonald's bathroom stall and left after escaping from Lady Bullseye. After several weeks, he finally came back and set him free.

When injected, tranquilizer-filled darts fired by tranquilizer guns temporarily sedate a person or an animal so that they can be handled (or captured) safely. The tranquilizer may be a paralytic, sedative, or anesthetic. There is a long history of using tranquilizer weapons to capture wildlife without harm. The most frequent sensations are relaxation and sleepiness. Negative feelings, stress, or anxiety might also gradually fade away once the sedative starts to work. Your entire body could experience tingling, especially in your arms, legs, hands, and feet.

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Which vehicle has an acceleration of 5 m/s²?

A a bicycle, when its speed changes from rest to 2.5 m/s in 2s

B a car, when its speed changes from rest to 15 m/s in 5s

C a lorry, when its speed changes from rest to 20 m/s in 15s

D a motorbike, when its speed changes from rest to 50 m/s in 10s

Answers

The vehicle has an acceleration of 5 m/s² -  A motorbike, when its speed changes from rest to 50 m/s in 10s


What is an acceleration ?

Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity. The velocity vector change during a time interval divided by the time interval is the definition of acceleration.


All the vehicles have an initial velocity ( u) = 0
A- For bicycle
Final velocity (v) = 2.5m/s    time (t) = 2s
acceleration = 2.5/2 = 1.25m/s2

B- For car
Final velocity (v) = 15m/s    time (t) = 5s
acceleration = 15/5 = 3m/s2

C- For lorry
Final velocity (v) = 20m/s    time (t) = 15s
acceleration = 20/15= 1.33m/s2

D- For motorbike
Final velocity (v) = 50m/s    time (t) = 10s
acceleration = 50/10= 5m/s2


Option D is the correct answer as the motorbike will have an acceleration of 5m/s2.
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a horizontal rifle is fired at a bull's-eye. the muzzle speed of the bullet is 655 m/s. the gun is pointed directly at the center of the bull's-eye, but the bullet strikes the target 0.029 m below the center. what is the horizontal distance between the end of the rifle and the bull's-eye?

Answers

The horizontal distance between the end of the rifle and the eye of the bull is equal to 50.35 m.

What are the equations of motion?

The equations of motion can be described as the equations which set up the relationship between the velocity of the object, the acceleration, time, and distance of the moving object.

Consider that a vector r, which describes the position of the bullet when it reaches the target, is composed of [tex]r_x[/tex] and [tex]r_y[/tex]

[tex]r = (r_x, r_y)[/tex]

Given that [tex]r_y[/tex] is -0.029 m (the reference is located at the end of the rifle),

r =([tex]r_x[/tex], -0.029 m)

The vertical position of the bullet at time 't'  can be written in form of an equation as follows:

[tex]y = (y_o +v_oy) t + \frac{1}{2} g t^2[/tex]

The vertical component of the speed at t = 0 is 0, then, acceleration, v₀y = 0 and y₀ = 0.

Then, we can find the time for the vertical position (y) of bullet -0.029 m:

-0.029 m =(0)t - (1/2) · (9.8 m/s²) · t²

t = 0.077 sec

The equation for the horizontal position  can be written as:

x = x₀ + (v₀x) · t

Since the origin of the reference system is located at the bullet starts its trajectory, x₀ = 0.

x = (v₀x) · t

x = (655) × 0.077 = 50.35m

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the radius of a circular oil slick expands at a rate of 3 m/min. (a) how fast is the area of the oil slick increasing when the radius is 58 m? (use symbolic notation and fractions where needed.)

Answers

1092.72 square meters / min, area of the oil slick increasing.

Area = pi*r^2

da/dt = pi*2r*(dr/dt)

da/dt = pi*(2)*(58)*3 = 1092.72 square meters / min.

In a two-dimensional plane, a circle's area is the space it takes up. The area of a circle is another term for the area that lies within a circle's perimeter. A = r2, where r is the circle's radius, is the equation for a circle's surface area. The square unit, such as m2, cm2, in2, etc., is used to measure area. The formula for the area of a circle is (Pi) = 22/7 or 3.14, where (Pi) = r2 or d2/4 in square units. The ratio of a circle's diameter to circumference is known as pi.

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use the values from practice it to help you work this exercise. what if an additional mass is attached to the ball? how large must this mass be to increase the downward acceleration by 35%?

Answers

If the additional mass is attached to the ball, it must be large enough to increase the downward acceleration by 35%.

What is acceleration?
An object is said to have been accelerated if its velocity changes. An object's velocity can change depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, or a car stopped at a stop sign are a few instances of acceleration. Through these illustrations, we can see that acceleration happens whenever a moving object changes its direction or speed, or both. Since acceleration has both a magnitude and a direction, it is a vector quantity. Additionally, it is either the first derivative of velocity in relation to time or even the second derivative of position in relation to time.

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solve for x: |2x + 6| − 4 = 20 Group of answer choicesx = 9 and x = 11x = −9 and x = 15x = 9 and x = −15No solution

Answers

Given,

[tex]|2x+6|-4=20[/tex]

On simplifying,

[tex]\begin{gathered} |2x+6|=20+4 \\ \Rightarrow|2x+6|=24 \\ 2x+6=\pm24 \end{gathered}[/tex]

Thus,

[tex]\begin{gathered} 2x=+24-6 \\ \Rightarrow x=\frac{18}{2} \\ =9 \end{gathered}[/tex]

Or

[tex]\begin{gathered} 2x=-24-6 \\ x=\frac{-30}{2} \\ =-15 \end{gathered}[/tex]

Thus, x=9 and x=-15

Therefore the correct answer is the third option

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