Answer:
64 m
Explanation:
Using the following symbols
x: distance
v: velocity
a: constant acceleration
t: time
v₀: initial velocity
x₀: initial position
The equations of motion for a constant acceleration are given by:
(1) x = 0.5at²+v₀t+x₀
(2) v = at+v₀
From equation (2) you can calculate the time t it takes the car to come to a complete stop.
(3) t = (v-v₀)/a
Now you plug equation (3) in equation(1):
(4) x = 0.5a((v-v₀)/a)²+v₀((v-v₀)/a)+x₀
In equation (4) the position x is the only unknown.
