a car is parked near a cliff overlookng the ocean on an inclue that makes an ang

Question

a car is parked near a cliff overlookng the ocean on an inclue that makes an angle of 28.7 degrees with the horizontal. The negligent drive leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline and has a velocity 20 m/s when it reaches the edge of the cliff. The cliff is 27.9 cm above the ocean.

The acceleration of gravity is 9.8 m/s to the 2nd power.

How far is the car from the base of the cliff when the car hist the ocean? answer in units of m

Explanation / Answer

y = ut + 1/2 at^2

y = - 20 sin 28.7 t - 0.5 * 9.8 t^2 ;

y = -27.9 whren it hits bottom ;

-27.9 = - 20 sin 28.7 t - 0.5 * 9.8 t^2 ;

or t =1.5995 s ;

x = 20 cos 28.7 t ;

x = 20 cos 28.7 * 1.5995

x = 28.059 m <--------ans

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