Find the instantaneous acceleration at t=ls for an object moving along a straight axis with velocity function:
v(t)= -t3+5t

Answer:

A. 2m/s^2

B. 5m/s^2

Answers

Answer 1
The answer is A.
Explanation:
We know that the average acceleration a for an interval of time Δt is expressed as:

a = Δv
Δt
where Δv is the change in velocity that occurs during Δt.
e formula for the instantaneous acceleration a is almost the same, except that we need to indicate that we're interested in knowing what the ratio of Δv to Δt approaches as Δt approaches zero.

We can indicate that by using the limit notation.

So, the formula for the instantaneous acceleration is:

a = lim Δv
Δt→0 Δt

Related Questions

farmer joe drives a tractor for 4 hours. his tractor is pulling a heavy plow across a rocky field. over the course of 4 hours, is the plow gaining or losing energy?

Answers

Over the course of the 4 hours for which farmer Joe's tractor is pulling the heavy plow, the plow is gaining energy by virtue of its displacement --termed the Kinetic energy.

According to the question, Farmer Joe drives the tractor for 4 hours.

However, the tractor is connected to a heavy plow and is used to pull the plow across a rocky field.

The question requires that we determine if the plow is gaining or losing energy.

In the plow's state of rest, prior to when it is connected to the tractor and pulled by the tractor; the plow possess a form of energy by virtue of its position termed the Potential energy.

However, the focus of the question is during the pulling action of the tractor on the plow.

As such, the plow now has a kinetic energy by virtue of its displacement..

Ultimately, the plow is gaining energy as it is being pulled by the tractor and now has Kinetic energy.

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inimbita ka ng iyong kamag aral na magpunta pagkatapos ng inyong klase sa isang video shop na malapit sa inyong paaralan ngunit nag bilin ang nanay mo na umuwi ka nang maaga dahil mayroon siyang ipagagawa sa iyo ano ang gagawin mo?

Answers

Answer:

sabihin sa kamag-aral na deh muna ako sasama kasi may papagawa pa nanay ko Sakin.

Explanation:

pa brainliest

V1=2 L
T1= ? degrees Kelvin
V2= 4 L
T2= 300 degrees Kelvin

Answers

Explanation:

using Charles law

V1/T1 = V2/T2

2/ T1 = 4/300

cross multiply

4 X T1 = 2 X 300

T1 = 600/4 = 150

T1 = 150°k

A flare fired upward at 49 m/s will reach a height of

Answers

Answer:

122.5 meters

Explanation:

We have the third equation of motion:

[tex]\boxed{\mathsf{v^2=u^2+2aS}}[/tex]

v stands for the final velocityu, initial velocitya is the acceleration of the particle in motionS, the distance covered by the same particle.

Here, the particle is a flare.

It's initial velocity is 49 m/ s and the final will be zero, that's 'cause the particle comes to a standstill upon reaching its maximum, in case of motion under gravity.

a will be the acceleration due to gravity = 9.8 m/ s²

So, here are the terms we've got for the third eqn. of motion:

v = 0 m/ su = 49m/ sa = - 9.8 m/ s (the force of gravity acts downwards, and that's the direction we say is negative)

Now, the term we've got to find out is the height reached by the flare, i. e., S.

=> v² = u² + 2aS

=> (0)² = (49)² + 2×(-9.8)×S

=> 0 = 49×49 - 2×9.8×S

=> 2×9.8×S = 49×49

[tex]\implies \mathsf{S=\frac{49\times 49}{2\times9.8} }[/tex]

=> S = [tex]\frac{245}{2}[/tex]

=> S = 122.5 meters

And, S is the maximum height the flare covers, so the answer is 122. 5 meters

Una bola de 60 Kg se hace descender por medio de un cable, con una aceleración hacia abajo de 4 m/s2 . ¿Cuál es la tensión en el cable?

Answers

Answer:

240 N

Explanation:

La fuerza de la tensión del cable es la masa por la aceleración (F=ma).

F = (60)(4) = 240 N

who is the target group of referred to or described in the text about gabu?

Answers

The target group of readers is anyone who reads the text, which means that everyone is the target group

The statement "are either elements or compounds" describes a


A. pure substance.


B. mixture.

Answers

Answer: A. Pure Substance

Explanation:

If it is pure the substance has to be either an element or a compound.

Answer:

A. pure substance

Explanation:

This is because matter has distinct properties and the ingredients from sample to sample do not change, and all substances are either elements or compounds

why do some science classes teach that electrons, comparatively, have no mass?



helpppp ASAPPP

Answers

Answer:

An electron's mass is only 1/1,836 the mass of a proton. An electron is therefore considered nearly massless in comparison with a proton or a neutron.

A ball is rolling across the floor at a constant speed. What will happen to the ball if it is exposed to an unbalanced force in the same direction that it is moving?
A. It will immediately stop.
B. Its speed will increase.
C. Its speed will decrease.
D. Its motion will be unchanged.

Answers

Answer:

B. it's speed will increase

In any sample of water, there are always some water molecules which have become ions. These ions are produced by transferring a ________ from one water molecule to another

Answers

Answer: Proton

Explanation:

A 2.6 kg rock is dropped from a height of 10 m. With what speed will it strike the ground. Ignore air resistance. Solve using conservation of energy (start with Ebefore = Eafter).​

Answers

Answer:

[tex]mgh = \frac{1}{2} m {v}^{2} \\ v = \sqrt{2gh} \\ = \sqrt{2 \times 9.8 \times 10} \: m. {s}^{ - 1} [/tex]

A brick is dropped from a height of 31.9 meters

Answers

Explanation:

what is asked give brief explanation about question

What happens when you sit in a
chair?
A. Gravity is pulling you down but the chair
pushes you up with equal force.
B. Gravity is pulling you down and the chair
pushes you up into the air.
C. There is no force being exerted.
D. Gravity is pulling you down and the chair is
sliding sideways.

Answers

Answer: Option A

Explanation

Answer:

B

Explanation:

that is the only way you can sit

You drive a car 660 m to the east, then 400 m to the north. What is the magnitude of your displacement? Using a sketch, estimate the direction of your displacement. Verify your estimate with a numerical calculation of the direction.

Answers

Explanation:

You walk 53m to the north, then you turn 60° to your right and walk another 45m. Determine the direction of your displacement vector. Express your answer as an angle relative to east.

The arrow is pointing to sodium’s

number of neutrons.
chemical symbol
atomic mass
combined number of electrons and protons.

Answers

Answer atomic mass

Explanation:

i took the test and got 100

7. A gold bar has a volume of 4.7 cm3 and a density of 19.3 g/cm3. What is its mass? Be sure to show your work and label all units

Answers

Answer:

90.71

Explanation: Just multiply  V/D=Mass

A current of 0.2 A flows through a conductor for 5minutes. How much charge would have passed through the conductor?​

Answers

As we know,

[tex]electric \: \: current = \dfrac{charge}{time} [/tex]

so, let's solve for charge (q) :

time = 5 minutes = 5 × 60 seconds = 300 seconds.

[tex]0.2 = \dfrac{q}{300} [/tex]

[tex]q = 300 \times 0.2[/tex]

[tex]q = 60[/tex]

hence, the charge = 60 coulombs (C)

here’s a clearer picture :)

Answers

Explanation:

so your answer is 4 km/ day, which I have given in earlier answer,.

hope this helps you again.

7. Circle the letter of the sentences that describe Thomson's model of the
atom.
a. An atom is filled with positive matter.
b. An atom is mostly space with a small nucleus.
c. Negative charges are scattered throughout an atom.

Answers

Answer: c

Explanation:

Calculate the power of a car that uses 12KJ of chemical energy in 6 seconds

Answers

Explanation:

Power=work done/time

=> 12kJ/6s = 12000J/6s = 2000W = 2kW.

hope this helps you

Un avión vuela hacia al norte a una velocidad de 90 m/s, pero un fuerte viento sopla hacia al este a 20 m/s y desvía su rumbo. Realiza los trazos y encuentra el vector resultante.

Answers

La adicion de vectores permite encontrar la repuesta para la velocidad resultante del avión es:

Modulo de la veloicdad  v= 92,2 m/s Dirección de esta veloicdad 12,5º al Norte del Este  

Las magnitudes vectoriales son cantidades tienen modulo y dirección, la velocidad es una de estas magnitudes, por lo tanto deben ser sumada usando álgebra vectorial.

Un sistema de referencia es un sistema desde donde realizar las mediciones, en este caso indican que usemos un sistema de los puntos cardinales.

En el adjunto podemos ver un esquema de los vectores velocidad y su resultante, realicemos el calculo de la resultante por método analíticos

Indican que el valor de la velocidad hacia el Este es vₓ = 20 m/s y la velocidad hacia el Norte es v_y = 90 m/s, por lo tanto, para la magnitud usamos el Teorema de Pitágoras

           [tex]R= \sqrt{v_x^2 + v_y^2}[/tex]

           R = [tex]\sqrt{20^2 + 90^2}[/tex]

          R = 92,2 m/s

Para encontrar la direccion usemos trigonometría

          tan θ = [tex]\frac{v_y}{v_x}[/tex]

          θ = tan⁻¹ [tex]\frac{v_y}{v_x}[/tex]

          θ = tan⁻¹ 20/90

          θ = 12,5º

La dirección se lee 12,5º al Norte del Este

En conclusión usando la suma de vectores  podemos encontrar la repuesta para la velocidad resultante del avión es:

v= 92,2 m/s  con dirección 12,5º al Norte del Este  

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A penny is made of the element zinc plated with the element copper; a nickel is made of a mixture of the elements nickel and copper. Some isotopes of various elements are listed below by their atomic number and mass number. Use the periodic table on p. 131 to identify which atoms you would expect to find in the penny, which you would expect to find in the nickel, which you would expect to find in both, and which you would expect to find in neither coin.

Answers

Answer: We need the referenced table to discern which isotopes are likely to be found.  But there is still an interesting piece of information.

Explanation:

An interesting story behind the US penny.  It has been around since 1787 and consisted of primarily a copper, or copper-plated coin.  In 1982 the design was changed, due to the high price of copper.  A zinc core was copper plated to have the same appearance, but less expensive composition.  If one of these pennies is slightly filed to expose the zinc, it can be placed in a strong acid that will react with and dissolve the zinc core.  Fun, but a waste of money.

Answer:

in the penny Cooper(Cu),un the nickel nickel(Ni),in both Cooper(Cu)

Explanation:


If the masses are not changed, but the distance of separation is tripled, what happens to the for

Answers

If the separation distance between any two objects is tripled (increased by a factor of 3), then the force of gravitational attraction is decreased by a factor of 9 (3 raised to the second power).



hope this helps, have a great day
mark brainliest :)!!

a cart is constrained to move along a straight line. a varying net force along the direction of motion is exerted on the cart. the cart’s velocity v as a function of time t is shown in the graph above. the five labeled points divide the graph into four sections. for which segment does the cart move the greatest distance?

Answers

From the graph, the segments that move the greatest distance are AB and DE.

We have,

From the graph,

The y-axis is the speed.

The x-axis is the time.

This means,

Speed = Distance / Time

So,

The horizontal line is the distance.

Now,

There are 5 points: A, B, C, D, and E.

There are four parts:

AB, BC, CD, and DE.

On the graph.

So,

I part = 1/3 = 0.33

The distance covered in each part is:

AB = 2 parts = 2 x 0.33 = 0.66

BC = 1 part = 0.33

CD = 1 part = 0.33

DE = 2 parts = 2 x 0.33 = 0.66

Thus,

The segments that move the greatest distance are AB and DE.

Learn more about speed here:

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#SPJ12

Why aren't pads or helmets necessary in flag football?​

Answers

Answer:

because it is not nesscery

Explanation:

which kind of energy transformation occurs in a gasoline-powered car?

F. Chemical energy is converted into mechanical energy.
G. Mechanical energy is converted into light energy.
H. Light energy is converted into sound energy.
J. sound energy is converted into chemical energy.

Answers

Answer:

Chemical energy is converted into mechanical energy

Explanation:

Chemical energy stored in the bonds of hydrocarbons is released as heat which drives the piston in a car to produce circular motion that propels the car.

sơ đồ tư duy môn địa 10 bài 12

Answers

nd ko ka balo mag anser sina ya doy

The frequency of a sound in a 8 m long metal rod is 250 Hz. There are two complete sound waves in the rod. The speed of sound in this metal is

Answers

f=250HzWavelength=8mVelocity be v

[tex]\\ \sf\longmapsto v=f\lambda[/tex]

[tex]\\ \sf\longmapsto v=250(8)[/tex]

[tex]\\ \sf\longmapsto v=2000m/s[/tex]

Two astronauts are playing catch in a zero gravitational field. Astronaut 1 of mass m1 is initially moving to the right with speed v1 . Astronaut 2 of mass m2 is initially moving to the right with speed v2>v1 . Astronaut 1 throws a ball of mass m with speed u relative to herself in a direction opposite to her motion. Astronaut 2 catches the ball. The final speed of astronaut 1 is vf,1 and the final speed of astronaut 2 is vf,2 .What is the speed vf,1 of astronaut 1 after throwing the ball?

Answers

The final velocity ([tex]v_1_f[/tex]) of the first astronaut will be greater than the final velocity of the second astronaut ([tex]v_2_f[/tex]) to ensure that the total initial momentum of both astronauts is equal to the total final momentum of both astronauts after throwing the ball.

The given parameters;

Mass of the first astronaut, = m₁Mass of the second astronaut, = m₂Initial velocity of the first astronaut, = v₁Initial velocity of the second astronaut, = v₂ > v₁Mass of the ball, = mSpeed of the ball, = uFinal velocity of the first astronaut, = [tex]v_f_1[/tex]Final velocity of the second astronaut, = [tex]v_f_2[/tex]

The final velocity of the first astronaut relative to the second astronaut after throwing the ball is determined by applying the principle of conservation of linear momentum.

[tex]m_1v_1 + m_2v_2 = m_2v_2_f + m_1v_1_f[/tex]

if v₂ > v₁, then [tex]v_1_f > v_2_f[/tex], to conserve the linear momentum.

Thus, the final velocity ([tex]v_1_f[/tex]) of the first astronaut will be greater than the final velocity of the second astronaut ([tex]v_2_f[/tex]) to ensure that the total initial momentum of both astronauts is equal to the total final momentum of both astronauts after throwing the ball.

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What a Cell Wall can some tell me

Answers

Answer:

cell membrane

Explanation:

A cell wall is most commonly known as a cell membrane witch just controls what can go in and out of a cell .

( hope this helped )

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