I'm going to assume you mean
[tex]y = 14t^2 - \dfrac{t^2}{2+5t} - 3[/tex]
Taking the derivative with respect to t on both sides gives
[tex]\dfrac{\mathrm dy}{\mathrm dt} = 2\cdot14t - \dfrac{(2+5t)(2t)-t^2(5)}{(2+5t)^2} - 0 \\\\ \dfrac{\mathrm dy}{\mathrm dt} = \boxed{28t - \dfrac{4t+5t^2}{(2+5t)^2}}[/tex]
You could go on to expand the rational expression into partial fractions. One way to do this:
[tex]\dfrac{5t^2 + 4t}{(2 + 5t)^2} = \dfrac{t(5t+2) + 2t}{(2+5t)^2} \\\\= \dfrac{t}{2+5t} + \dfrac{2t}{(2+5t)^2} \\\\= \dfrac15 \cdot \dfrac{t}{\frac25+t} + \dfrac{2t}{(2+5t)^2} \\\\ = \dfrac15 \cdot \dfrac{t+\frac25-\frac25}{\frac25+t} + \dfrac{2t}{(2+5t)^2} \\\\ = \dfrac15 \left(1 - \dfrac{2}{2+5t}\right) + \dfrac{2t}{(2+5t)^2} \\\\ = \dfrac15 - \dfrac{2}{10+25t}+ \dfrac{2t}{(2+5t)^2}[/tex]
and this would give
[tex]\dfrac{\mathrm dy}{\mathrm dt} = 28t - \dfrac15 + \dfrac2{10+25t} - \dfrac{2t}{(2+5t)^2}[/tex]
A treasure map directs you to start at palm tree
and walk due north for 15.0 m. You are then to turn
90° and walk 22.0 m; then turn 90° again and
walk 5.00 m.
Give the distance from the palm tree,and the direction to north, for each of the four possible locations of the treasure .
The direction of the 90° turns are the possible directions used for the calculations
The four distances and directions are;
24.2 m, 65.6° West of North29.7 m, 42.7° East of North24.2 m, 65.6° East of North29.7m, 47.7° West of NorthReason:
Let point A represent the motion of the treasure hunter, we have:
Turning West then West;
Walking due north to location (0, 15)
Turn 90° West and walk 22.0 m to the location (-22, 15)
Turn 90° West again and walk 5.00 m. to the location (-22, 10)
The location of point A = (-22, 10)
[tex]Direction \ of \ point \ A = arctan \left(\dfrac{10}{-22} \right) \approx -24.4^{\circ}[/tex]
Direction to North = 90° - 24.4° ≈ 65.6°
Distance = √((-22)² + 10²) ≈ 24.2
Therefore, we have;
24.2 m, 65.6° West of NorthTurning East then West:
Turn 90° East and walk 22.0 m to the location (22, 15)
Turn 90° West again and walk 5.00 m. to the location (22, 20)
The location of point A = (22, 20)
[tex]Direction \ of \ point \ A = arctan \left(\dfrac{20}{22} \right) \approx 42.7^{\circ}[/tex]
Direction to North = 90° - 42.3° ≈ 47.7° East
Distance = √((-22)² + 20²) ≈ 29.7
Therefore, we have;
29.7 m, 42.7° East of NorthTurning East then East:
Turn 90° East and walk 22.0 m to the location (22, 15)
Turn 90° East again and walk 5.00 m. to the location (22, 10)
The location of point A = (22, 10)
[tex]Direction \ of \ point \ A = arctan \left(\dfrac{10}{22} \right) \approx 24.4^{\circ}[/tex]
Direction to North = 90° - 24.4° ≈ 65.6° East
Distance = √((-22)² + 10²) ≈ 24.2
Therefore, we have;
24.2 m, 65.6° East of NorthTurning West then East:
Turn 90° West and walk 22.0 m to the location (-22, 15)
Turn 90° East and walk 5.00 m. to the location (-22, 20)
The location of point A = (-22, 20)
[tex]Direction \ of \ point \ A = arctan \left(\dfrac{20}{-22} \right) \approx -42.7^{\circ}[/tex]
Direction to North = 90° - 42.7° ≈ 47.7° West
Distance = √((-22)² + 20²) ≈ 29.7
Therefore, we have;
29.7m, 47.7° West of NorthLearn more here:
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help i dont know vfvvfvf
Answer:
20 steps is his displacement
PLS HELP
What is the gravitational force acting on a 53 kg object standing on the surface of the Earth?
a) 5.3 N
b) 63N
c)48N
d) 530N
Answer:
D.
Explanation:
DId the test
The gravitational force acting on the body of mass 53 Kg on earth will be 530 Newtons.
What is Weight ?
Weight is the force exerted by earth on a body on the surface of earth. Mathematically -
W = mg
Given is a 53 kg object standing on the surface of the Earth.
The gravitational force acting on the body will be same as it weight and will be directed towards the center of earth. Using the formula for weight -
W = mg = 53 x 10 = 530 N [taken g = 10 m/s²]
Therefore, the gravitational force acting on the body of mass 53 Kg on earth will be 530 Newtons.
To solve more questions on Gravitation, visit the link below-
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#SPJ2
Sara walks, 3m North, from Point A to Point B. Which is True?
A. Distance and displacement are EQUAL
B. Distance is less than displacement
A wave has a wavelength of 1.2 m and a frequency of 3 Hz. What is the wave
speed?
A. 4.2 m/s
B. 2.5 m/s
C. 1.8 m/s
D. 3.6 m/s
Answer:
D. 3.6m/s
Explanation:
The equation for wave speed can be used to calculate the speed of a wave when both wavelength and wave frequency are known. Consider an ocean wave with a wavelength of 1.2 meters and a frequency of 3 hertz. The speed of the wave is: Speed = 1.2m x 3wave/s = 3.6 m/s
express one light year into SI unit
Explanation:
The light-year, alternatively spelled lightyear, is a unit of length used to express astronomical distances and is equivalent to about 9.46 trillion kilometers (9.46×1012 km) or 5.88 trillion miles (5.88×1012 mi).hope it helps.stay safe healthy and happy.3 situations that give friction a “bad reputation”
PLS HELP HELP WILL MARK FIRST RIGHT ANSWER BRAINLIEST!!!!
Answers:
2. Displacement is:
A. All answers correctly describe displacement.
3. What is the initial position of this car?
B. 0
4. What is the final position of this car?
C. -2
5. What is the displacement of the car during PART A of the trip?
A. 3
6. What is the displacement of the car during PART B of the trip?
C. -5
7. What is the total distance the car travels during the WHOLE TRIP?
B. 8
8. What is the total displacement the car travels during the WHOLE TRIP?
D. -2
9. What is the change in position (displacement) of the car?
A. 17 meters
10. Define and explain each of the three variables in this displacement equation: Δx = [tex]x_{f} - x_{i}[/tex]
Δx: This is the total value of displacement. xf: This represents the final position.xi: This represents the initial position.HOPE THIS HELPS!Please represent 80 N, East in a diagram
This means a lot to me if u answer
Thank you
Answer: Sorry girl, ik the answer but id.k how to upload the diagram
Explanation:
two sports where it would be good to have long thin bones , explain your answer
Answer:
Well, I know basketball is one. Also, Track and Field and tennis
42. The object in the figure is made of
a material of density 3000 kg/m3.
What is the tension in the rope,
which suspends the object, when
it is completely immersed in
water. The mass of the object is
200 kg.
TO?
Answerpov:
Explanation:
What are the values of temperature and pressure under STP, using the units of kelvin and kilopascals?
Answer: STP is 273.15 K and 0.986 92 atm.
Explanation:
STP is defined as 273.15 K and a pressure of exactly 100 kPa (1 bar).
Hope this helps! :)
A 69.0 N object accelerates to the right at 4.5 m/s^2. What is the normal force acting on the object.
Answer:
thanks for the ok points
Explanation:
please don't delete this
I'm sorry I can't answer your question ok bye
what is the modern symbol for the element Bo
Answer:
Bo (modern symbol B) = Boron
Explanation:
Hope this helps
An atom of an element is electrically neutral because the
O Number of protons = the number of electrons
O Number of protons = the number of neutrons
O Number of electrons = number of neutrons
Answer:
option two
Explanation:
Number of protons = the number of neutrons
the question says "___________________ was the inventer of the radio?
please answer it
NEED HELP!!! 12 POINTS!!!
Imagine that you are holding a weight. Why is there more benefit if you lift the weight by bending at the elbow than if you swing your arm?
options:
A.
There is no resistance involved if you are swinging your arm.
B.
There is very little motion if you are bending your arm at the elbow.
C.
The weight is an unbalanced force that requires momentum to be moved.
D.
Bending the arm creates a lever and more resistance than swinging the weight.
PLEASE NO LINKS
Answer:
this is actually
Explanation:
6 points
Answer:
helppppp
Explanation:
car moves with a speed of 72 km/hr for 20 minutes and then with the speed of 60 km/hr for 15 minutes. The total distance covered by the car is.........
35 km
36 km
39 km
40 km
Hai điện tích q1 = 8*10^-8C, q2 = -8*10^-8C đặt tại A,B trong không khí, AB=4cm. Xác định cường độ điện trường tại C với:
a) CA = CB = 2cm
b) CA= 8cm, CB = 4cm
c) CA = CB = 4cm
d) CA = 3cm, CB = 5cm
Answer:
its b cuz ca when u add the b its a Explanation:
18. Reference samples come from a source that is O known O scientific method O physical evidence O individual characteristics
Answer:
O scientific method
Explanation:
Choose a starting point in United states to sail back to Africa. Determine the wind and current correction vectors that would take a ship there. Tell how many months it took to reach land.
Answer:
I personally think the answer is 5 because if you look at it its 5
What is the difference between thrust and applied force?
Answer:
Thrust acts on the accelerated object in the direction opposite to the applied force hence it accelerates the object in the direction opposite to the applied force. ... Its magnitude is equal to that of applied force. It always increases the velocity of the object.
Explanation:
Newton's 3rd law is.
C. Force = Mass x Acceleration
B. An object in motion will stay in motion unless acted upon
A. For every action there is a reaction
will the star of bethlehem be visible on december 21st
Answer:
The best time to view the spectacle on Dec. 21 will be around an hour after sunset.
How do I figure this out?
Step #1: Learn what "displacement" means.
Step #2: Learn what "velocity" means.
Suppose a man pushes a crate with a force of 20 N north. What is the magnitude and direction of the reaction force?
A. 20 N south
B. 20 N north
C. 20 N down
D. There is no reaction force in this case.
D
Explanation:
Because between this force the opposite direction will be zero
Answer: The answer is actually A, 20 N south
Explanation:
Because I got it wrong, but then it showed me the answer.
my friend and me are struggling help ussss
Explanation:
according to my sensation : its distance traveled is 24km and time is 6 days.
therefore, the speed is = 24km/6day = 4km/day.( first option)
hope this helps you.
A rubber duck sat is floating on the surface
on the water. 10N of weight is acting
DOWNWARDS on the water. What other
force must be acting to allow the duck to
float?
The other force that must be acting on the duck is upthrust of 10 N.
The given parameters;
weight of the rubber duck, W = 10 NWhen the weight of the object is equal to the upthrust, the apparent weight will be zero and the object will float in the liquid. This is known as principle of floatation.
Since the given weight of the rubber duck is 10 N, then the upthrust on the duck will be 10 N to enable the duck float on the water.
Thus, the other force acting on the duck is upthrust of 10 N.
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significant nomadic peoples who spoke a language derived from a single parent tongue were the
The Answer would be Indo - Europeans
Why is air pressure lower on top of the airplane wing?
Answer:
Explanation:
Airplane wings are shaped to make air move faster over the top of the wing. When air moves faster, the pressure of the air decreases. So the pressure on the top of the wing is less than the pressure on the bottom of the wing.
this is off the internet
hope this help:)