A car is parked on a cliff overlooking the ocean on an incine that makes an angl

Question

A car is parked on a cliff overlooking the ocean on an incine that makes an angle of 22 degrees below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rools from rest down the incline witha constant acceleration of 3.52 m/s^2 for a distance of 65 meters to the edge of the cliff, which is 25 meters above the ocean.

A. Find the car's position relative tot he base of the cliff whent he car lands in the ocean

B. Find the lenth of time the car is in the air in seconds.

Explanation / Answer

a=3.52 m/s2; u=0; s=65
v^2 = u^2 +2as
v^2 = 0 + 2 * 3.52 * 65
v= 21.39m/s

downward flight,
s = ut + 0.5 at^2
25 = 20.39 sin 22 t + 0.5 * 9.81 * t^2
4.905 t^2 + 7.6t - 25 =0
t = 1.612s

(b) the length of time the car is in the air = 1.612s
answer
(a) the car's position relative to the base of the cliff when the car lands in the ocean
= 20.39 cos 22 * 1.612s
= 30.47m

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