A car is parked on a cliff overlooking the ocean on an incline thatmakes an angl

Question

A car is parked on a cliff overlooking the ocean on an incline thatmakes an angle of 22.0° below the horizontal. The negligent driverleaves the car in neutral, and the emergency brakes are defective.The car rolls from rest down the incline with a constantacceleration of 3.52 m/s2 for adistance of 65.0 m to the edge of thecliff, which is 20.0 m above the ocean. (a) Find the car's position relative to thebase of the cliff when the car lands in the ocean
1    m

(b) Find the length of time the car is in the air.
2                 s (a) Find the car's position relative to thebase of the cliff when the car lands in the ocean
1    m

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

Explanation / Answer

a) vi = 0, =>vf2-0=2as=2*3.52m/s2*65.0m =>vf = (2*3.52m/s2*65.0m ) =21.39m/s vfy = 21.39m/s*sin(22.0)=8.01m/s vfx = 21.39m/s*cos(22.0)=19.83m/s the time from the edge of the clip to the ocean is t and h = 20.0m = (1/2)gt 2    => t =(2*20.0m/9.8m/s2)=2.02s x = vfx*t=19.83m/s * 2.02s = 40.06 m car's position relative to the base of the cliff when the carlands in the ocean is 40.06 m b) the length of time the car is in the air is t = 2.02 s

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