A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 24.0° 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 4.00 m/s2 for a distance of 45.1 m to the edge of the cliff, which is 19.4 m above the ocean. Find (b) the length of time the car is in the air
working with just the vertical velocity
v = √(2as) = √(2 * 4sin24° * 45.1) = 12.11
as it falls,
s = 19.4 -12.11t - 4.9t^2
so,
s=0 when t = 1.106