While playing with kids, joe pushed a 1.2 kg toy car up a long ramp with an init

Question

While playing with kids, joe pushed a 1.2 kg toy car up a long ramp with an initial velocity of 1.5 m/s. The car reaches its topmost position on the ramp in 0.4 seconds. Take the direction "up the ramp" as the positive direction.

a) What is the acceleration in m/s2 of the car when moving up the ramp?

b) What is the acceleration in m/s2 of the car when it reaches its topmost position?

c) What is in m/s velocity of the car when it reaches its topmost position?

d) What is in m the displacement of the car up the ramp when it reaches its topmost position?

e) What is in m/s the average velocity of the car while moving up the ramp?

Explanation / Answer

a) v = v0 + a t

0 = 1.5 +a*0.4

a = -1.5/0.4= - 3.75 m/s^2

b) doesnt change -3.75 m/s^2

c) at top position v = 0

d) x = v0 t + 1/2 a t^2 = 1.5*0.4 - 0.5*3.75*0.4^2= 0.3 m

e) average v = x/t = 0.3/0.4 = 3/4 = 0.75 m/s

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