Consider the acceleration of the car is .
Initial velocity of the car is mi/h
ft/s.
Final velocity of the car after s is
mi/h
ft/s.
The acceleration of the object is , where
is the velocity.
Hence .
The antiderivative of is
, where
is the constant.
Initial condition :
\Substitute and
in
.
Therefore the initial velocity of the car is .
Final condition :
\Final velocity of the car after s is
mi/h
ft/s.
Hence .
Substitute and
in
.
Therefore the acceleration of the car is ft/s2.
The acceleration of the car is ft/s2.