Answer:
67.4 m/s
Step-by-step explanation:
The force acting on the car, and that causes the car to slow down, is the force of friction, which is given by:

where
is the coefficient of kinetic friction
m is the mass of the car
is the acceleration of gravity
According to Newton's second law:

where F is the net force on the car and a its acceleration. Comparing the two equations, we find an expression for the acceleration:
(1)
Since the motion of the car is a uniformly accelerated motion, we can use the following equation:

where
v = 0 is the final velocity of the car
u is the initial velocity
a is the acceleration
s = 290 m is the distance covered by the car while slowing down
Using (1) and solving for u, we find the initial velocity:
