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 25 degrees 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 3.97 m/s^2 for a distance of 55 m to edge of the cliff, which is 35 m above the ocean. Find the cars position relative to the bar of the cliff when the car lands in the ocean. Find the length of time the car is in the air. A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 25 degrees 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 3.97 m/s^2 for a distance of 55 m to edge of the cliff, which is 35 m above the ocean. Find the cars position relative to the bar of the cliff when the car lands in the ocean. Find the length of time the car is in the air.

Explanation / Answer

Here,

let the speed of launch of car from the incline is u

u = sqrt(2 * a * d)

u = sqrt(2 * 3.97 * 55)

u = 20.9 m/s

let the time of flight is t

y = u * t + 0.5 at^2

35 = 20.9 * sin(25) * t + 0.5 * 9.8 * t^2

solving for t

t = 1.92 s

the time for which the car in the air is 1.92 s

-----------------------------------

distance from the bar of cliff = u * cos(theta)* t

distance from the bar of cliff = 20.9 * cos(25) * 1.92

distance from the bar of cliff = 36.36 m

the distance from the bar of cliff where car lands is 36.36 m

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