suppose a car is decelerating at a constant rate of 5 m/s^2 (i.e. its acceleration is -5m/s^2) . If the car has an initial velocity of 25m/s, how far does the car travel before coming to a full stop?

Question

So do I try to integrate the acceleration to find the velocity ?

Answer 1

yes,
start with a = -5
v = -5t + c , where c is a constant
given: when t = 0 , v = 25
25 = -5(0) + c
c = 25 ,so

v = -5t + 25
when car stops, v = 0
0 = -5t + 25
t = 5

it takes 5 seconds to stop