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 70.0 m to the edge of the cliff. The cliff is 25.0 m above the ocean.
(a) Find the car's position relative to the base of the cliff when the car lands in the ocean, and
1 m
(b) Find the length of time the car is in the air.
2 s

Explanation / Answer

This is straight-line motion with constant acceleration:

v2 = vo2 + 2 a s

v2 = 0 + 2 (3.21 m/s2) (70 m)

v = 37.98 m/s

With an acceleration of 3.21m/s2, how long does it take to go from rest to 37.98 m/s using kinematic equation

v = vo + a t

37.98m/s = 0 + (3.21m/s2) t

t = 11.83s

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