A car moving up a straight incline of with the horizontal has a speed of when the…
PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
A car moving up a straight incline of 5∘ with the horizontal has a speed of 15m s−1 when the engine suddenly fails. The driver immediately applies the brakes so that the car comes to rest in 30m measured along the slope.
(a) Taking the component of gravitational acceleration down the slope into account, calculate the magnitude of the additional uniform braking deceleration that must have acted on the car.
(b) If the brakes could supply only half of the deceleration found in part (a), determine the distance the car would travel up the slope before coming to rest. Take g=9.8m s−2.