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) Determine the maximum distance the car rolls up the hill.

28. 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) Determine the maximum distance the car rolls up the hill.