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 21.0° 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 3.37 m/s2for a distance of 70.0 m to the edgeof the cliff, which is 40.0 m abovethe 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

to solve part 1 first u need to find the time it took for the carto roll to the cliff using: xf=xi+vi*t+a*t12/2 t1=6.45s now find the velocity when the car went off the cliff using: vf=vi+a*t2 vf=21.7m/s now find the length of time the car is in the air which is part 2using the first equation: t2=2.56s now find the distance from the base of the cliff vf(x-component)*t2 x=51.95m

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