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 24 degree below the horizontal. The neglient driver leaves the car in neutral and the emergency brakes are defective. the car rolls from rest down the incline with constant acceleration of 4.00 m/s2 for a distance of 50.0 m to the edge of cliff, which is 30.0 m above the ocean. find a the car position relative to the base of the cliff when the car lands in the ocean and b. the length of time the car is in the air.

Explanation / Answer

so v=Sqrt(2*4*50 m/s = 20 m/s


now from projectile's vertical motion
we get
h=ut+1/2*gt^2
30=20 sin( 24)t+.5*9.8*t^2

solve t and get t= 2.11 s

use t with equation
x=v.sin(theta)t
=20cos(24)x 2.11
=35.7641m

so a)38.55 m and b) 2.11 s

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