a car is parked on cliff overlooking the ocean on an incline that makes an angle

Question

a car is parked on cliff overlooking the ocean on an incline that makes an angle of 24 degrees below the horizontal. the negliegent driver leaves the car in neutral and the emergency brakes are defective. the car rolls from rest down the the incline with constant acceleration of 4.00 m/s2 for distance of 50.0 m to the edge of the cliff which is 30.m above the ocean. find the car position relative to the base of the cliff when the car lands in the ocean and the length of time the car is in the air.

Explanation / Answer

2ad = v^2 -u^2

2 x 4 x 50 = v^2 - 0

v =20 m/s

using h = ut + at^2/2

-30 = - 20sin24 t - 9.8t^2/2

4.9t^2 + 8.14t - 30 =

solving t =1.78 sec

d = 20cos24 x 1.78   =32.52 m

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