Question-

A car is approaching a hill at 30.0 m/s when its engine suddenly fails just at the bottom of the hill. The car moves with a constant acceleration of #2.00 m/s2 while coasting up the hill.

a) Write equations for the position along the slope and for the velocity as functions of time,
taking x = 0 at the bottom of the hill, where vi = 30.0 m/s.

b) Decide the maximum distance the car rolls up the hill.