a racing car starts from rest and reaches a final speed v in a time t. if the ac

Question

a racing car starts from rest and reaches a final speed v in a time t. if the acceleration of the car is constant during this time, which of the following statements must be true?
***please explain why and how you got the answers, and also please show the calculation. thank you!!***

a)the car travels at distance vt
b)the average speed of the car is v/2
c)the acceleration of the car is v/t
d)the velocity of the car remains constant

I thought x=v0t+1/2at^2, and since v0=0, x=1/2at^2. Based on this, none of the choices matched.

Explanation / Answer

b)the average speed of the car is v/2
c)the acceleration of the car is v/t


initial velocity u =0 , final = v , acceleration = a
average speed = 0+v/2 = v/2
from v = u+ at
v =0 + at
acceleration a = v/t

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