A car is parked on a cliff overlooking the ocean on an incline thatmakes an angl

Question

A car is parked on a cliff overlooking the ocean on an incline thatmakes an angle of 17.0° below the horizontal. The negligent driverleaves the car in neutral, and the emergency brakes are defective.The car rolls from rest down the incline with a constantacceleration of 2.75 m/s2 for a distanceof 55.0 m to the edge of thecliff, which is 45.0 m above theocean.
(a) Find thecar's position relative to the base of the cliff when the car landsin the ocean.
(b) Find thelength of time the car is in the air.
(a) Find thecar's position relative to the base of the cliff when the car landsin the ocean.
(b) Find thelength of time the car is in the air.

Explanation / Answer

The velocity of the car while rolling down the incline is         v2 = 2aS v = 2aS            =2*2.75 * 55           = 17.39 m/s The vertical and horizontal component of velocity        vx = v cos17 = 16.63m/s        vy = v sin17 = - 5.08 m/s(down ward) From basic kinematic relation we have        h = ho + vy * t -0.5gt2        0 = ho + vy * t -0.5gt2        0.5gt2 + 5.08 *t- 45 = 0 Solve for time ' t " . 1) the car's position relative to the base of the cliff whenthe car lands in the ocean                    x = vx * t                       = ..........m 2) the length of time the car is in the air = " t" = .........s

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