Projectile Motion of Car and Cliff

AI Thread Summary
A car rolls down a 24.0º incline with a constant acceleration of 4.00 m/s² for 50.0 m before falling off a cliff that is 30.0 m high. The calculations involve determining the car's final velocity at the cliff's edge and resolving it into horizontal and vertical components. The expected results are a horizontal displacement of 32.5 m and a time of flight of 1.78 seconds. Despite following the steps, the user struggles to arrive at these values. The discussion emphasizes the importance of correctly applying kinematic equations to solve projectile motion problems.
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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
 
Physics news on Phys.org
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.
 

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