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 20.0° 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 3.21 m/s2 for a distance of 55.0 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. ___s

Explanation / Answer

horizontal velocity of the car at the cliff ( V )

V^2 = u^2 + 2as

V ^2 = 0 + 2*3.21*55

V = 18.79 m/s

b.)

length of time in car t

S = ut + 0.5at^2

35 = 0 - 0.5*9.81*t^2

t = 2.67 sec

a.)

horizontal distance = vt = 18.79*2.67 = 50.192 m from cliff base.

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