A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 24 degrees below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline with a constant acceleration of 4.8m/s/s and travels 54m to the edge of the cliff. The cliff is 32m above the ocean. The acceleration of gravity is 9.81m/s/s/

Question

A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 24 degrees below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline with a constant acceleration of 4.8m/s/s and travels 54m to the edge of the cliff. The cliff is 32m above the ocean. The acceleration of gravity is 9.81m/s/s/
How long is the car in the air?
What is the car's position relative to the base of the cliff when the car lands in the ocean?

bobpursley · Answer

find the velocity at the end of the roll. Break that velocity into horizontal, and vertical components.

Now let the car fall 32m it that initial vertical velocity, using
d=vo*t +1/2 g t^2 and solve for time.