Projectile Motion of Car and Cliff

[Graceful169]

Homework Statement

A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 24.0º 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 4.00 m/s² for a distance of 50.0 m to the cliffs edge. The cliff is 30.0 m above the ocean. Find (a) the cars 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.

Homework Equations

dy = ½• g•t2 + vo• t + h
vy = a•t + vo
dx = vx•t + ho
vx = constant

The Attempt at a Solution

The answers are giving to me as a)dx = 32.5 m and b) t = 1.78 s, but I have tried greatly to get there and no matter how I plug in the data I never seem to get it right

 

[rl.bhat]

1) Car starts from rest. Acceleration is given. Displacement is given. Find the final velocity vf at the edge of the cliff.
2) Resolve vf into vertical and horizontal components.
3) Find the time to reach the ocean
4) Find the horizontal displacemnt.