Answer:
a = - 3.14[m/s^2]
Explanation:
To solve this problem we must use the following kinematic equation:
[tex]v_{f} ^{2}= v_{o} ^{2}+2*a*dx\\where:\\v_{f} = final velocity = 0 [m/s]\\v_{o}= initial velocity = 48.8 [m/s]\\ a = acceleration [m/s^2]\\dx = displacement [m]\\[/tex]
Now replacing:
[tex]0 = 48.8^{2}+2*a*(378.7) \\-2381.44 = 757.4*a\\a = -3.14[m/s^2][/tex]
The negative sign means the vehicle slows down.
