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

Question

A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 21.0° 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 3.37 m/s2 for a distance of 40.0 m to the edge of the cliff, which is 35.0 m above the ocean.
(a) Find the car's position relative to the base of the cliff when the car lands in the ocean.
m

(b) Find the length of time the car is in the air.

Explanation / Answer

a=3.37 m/s2; u=0; s=40m v^2 = u^2 +2as v^2 = 0 + 2 * 3.37 * 40 v= 16.42m/s downward flight, s = ut + 0.5 at^2 35 = 16.42 sin 21* t + 0.5 * 9.8 * t^2 4.9t^2 +5.88tt -35 =0 t=2.14sec (b) the length of time the car is in the air = 2.14s (a) the car's position relative to the base of the cliff when the car lands in the ocean =16.42 cos 21 * 2.14 =32.8

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