A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 21.0° below the horizont

A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 21.0° 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 3.37 m/s2 for a distance of 65.0 m to the edge of the cliff. The cliff is 45.0 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
_______ m
(b) Find the length of time the car is in the air.
_______s

a=3.37 m/s2; u=0; s=65
v^2 = u^2 +2as
v^2 = 0 + 2 * 3.37 * 65
v= 20.93m/s

downward flight,
s = ut + 0.5 at^2
45 = 20.93 sin 21 t + 0.5 * 9.81 * t^2
4.905 t^2 + 7.5t - 45 =0
t = { -7.5 + sq root[ 939.15]} / 9.81 = 2.36s
t1 = { -7.5 - sq root[ 939.15]} / 9.81 not valid
(b) the length of time the car is in the air = 2.36s
answer
(a) the car's position relative to the base of the cliff when the car lands in the ocean
= 20.93 cos 21 * 2.36
= 46.11m
answer