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Brilliant_brown [7]
4 years ago
10

Derive an expression for the acceleration of the car. Express your answer in terms of D and vt Determine the time at which the s

peed of the car is equal to the speed vt of the truck. Express your answer in terms of tD. Justify your answer.
Physics
1 answer:
Bezzdna [24]4 years ago
3 0

Answer:

V(car) = V(truck) at t = Dt/2

acceleration = v(car) = D/t^2

Explanation:

acceleration = v(car) = D/t^2

Since the average velocities must be the same, the car's final velocity must be twice the trunk velocity assuming the car start with zero velocity, since acceleration remain the same throughout the journey velocities at half-time point must be equal.

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Liz rushes down onto a subway platform to find her train already departing. she stops and watches the cars go by. each car is 8.
Snezhnost [94]

 

The average velocity can be calculated using the formula:

v = d / t

For the 1st car, the velocity is calculated as:

v1 = 8.60 m / 1.80 s = 4.78 m / s

While that of the 2nd car is:

v2 = 8.60 m / 1.66 s = 5.18 m / s

 

Now we can solve for the acceleration using the formula:

v2^2 = v1^2 + 2 a d

Rewriting in terms of a:

a = (v2^2 – v1^2) / 2 d

a = (5.18^2 – 4.78^2) / (2 * 8.6)

a = 0.23 m/s

 

Therefore the train has a constant acceleration of about 0.23 meters per second.

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............

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