To find the acceleration of the car, we can use the equation of motion that relates displacement, initial velocity, final velocity, time, and acceleration:
v_f = v_i + a * t
where: v_f is the final velocity, v_i is the initial velocity, a is the acceleration, and t is the time.
Given: Initial velocity (v_i) = -4 m/s (since the car is going backward), Final velocity (v_f) = 10 m/s, Time (t) = 10 s.
Plugging in these values into the equation, we get:
10 m/s = -4 m/s + a * 10 s
Now, let's solve for acceleration (a):
10 m/s - (-4 m/s) = a * 10 s
14 m/s = 10 a
Dividing both sides by 10 s:
14 m/s / 10 s = a
a = 1.4 m/s²
Therefore, the acceleration of the car is 1.4 m/s².