SOLUTION: Please help me solve this .A car has uniformly accelerated from rest to a speed of 25m/s after traveling 75m.what is it's acceleration?

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Question 1181395: Please help me solve this .A car has uniformly accelerated from rest to a speed of 25m/s after traveling 75m.what is it's acceleration?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
A car has uniformly accelerated from rest to a speed of 25m/s after traveling 75m.
what is it's acceleration?
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We have two basic kinematic equation for the given situation

    S = %28at%5E2%29%2F2    (1)   (S is the distance, "a" is the acceleration, t is the time)

and

    V = at        (2)    (V is the speed).



Substitute the given values into equations:


    75 = %28at%5E2%29%2F2      (1')

    25 = at          (2')


From (2')  express  t = 25%2Fa.   Substitute it into (1').  You will get


    75 = %28a%2A%2825%2Fa%29%5E2%29%2F2 = 625%2F%282a%29.


It gives  a = 625%2F%282%2A75%29 = 625%2F150 = 25%2F6 = 4 1%2F6 m/s^2 = 4.166... m/s^2 = 4.166 m/s^2   (rounded).


ANSWER.  The acceleration is  4 1%2F6 m/s^2 = 4.166... m/s^2 = 4.166 m/s^2   (rounded).

Solved.