A)A car is parked on a cliff overlooking the ocean on an inclinethat makes an an

Question

A)A car is parked on a cliff overlooking the ocean on an inclinethat makes an angle of 21.0° 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 3.37 m/s2 for adistance of 40.0 m to the edge of thecliff, which is 20.0 m above the ocean. (1) Find the car's position relative to thebase of the cliff when the car lands in the ocean.
1 m

(2) Find the length of time the car is in the air.
2 s


B)The peregrine falcon (see figure) is the fastest bird, flying ata speed of 200 mi/h. Nature has adapted the bird to reach such aspeed by placing baffles in its nose to prevent air from rushing inand slowing it down. Also, the bird's eyes adjust their focusfaster than the eyes of any other creature, so the falcon can focusquickly on its prey. Assume that a peregrine falcon is movinghorizontally at its top speed at a height of 100 m above the groundwhen it brings its wings into its sides and begins to drop in freefall. How far will the bird fall vertically while travelinghorizontally a distance of 110 m?
1 m (1) Find the car's position relative to thebase of the cliff when the car lands in the ocean.
1 m

(2) Find the length of time the car is in the air.
2 s


B)The peregrine falcon (see figure) is the fastest bird, flying ata speed of 200 mi/h. Nature has adapted the bird to reach such aspeed by placing baffles in its nose to prevent air from rushing inand slowing it down. Also, the bird's eyes adjust their focusfaster than the eyes of any other creature, so the falcon can focusquickly on its prey. Assume that a peregrine falcon is movinghorizontally at its top speed at a height of 100 m above the groundwhen it brings its wings into its sides and begins to drop in freefall. How far will the bird fall vertically while travelinghorizontally a distance of 110 m?
1 m

Explanation / Answer

The velocity of the car while rolling down the incline is         v2 = 2aS v = 2aS            =2*3.37 * 40            =16.41 m/s The vertical and horizontal component of velocity        vx = v cos21 = 15.32 m/s        vy = v sin21 = - 5.88 m/s(down ward) From basic kinematic relation we have        h = ho + vy * t -0.5gt2        0 = ho + vy * t -0.5gt2        0.5gt2 + 5.88 *t -20 = 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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