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.