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June 26th, 2010 by admin

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A car drives straight off the edge of a cliff that is 48 m high. The police at the scene of the accident obser?

1)A car drives straight off the edge of a cliff that is 48 m high. The police at the scene of the accident observed that the point of impact is 138 m from the base of the cliff. How fast was the car traveling when it went over the cliff?

2)A hot-air balloon is rising straight up with a speed of 4 m/s. A ballast bag is released from rest relative to the balloon when it is 13.8 m above the ground. How much time elapses before the ballast bag hits the ground?

3) The altitude of a hang glider is increasing at a rate of 6.25 m/s. At the same time, the shadow of the glider moves along the ground at a speed of 15.5 m/s when the sun is directly overhead. Find the magnitude of the glider's velocity.

4)A golf ball rolls off a horizontal cliff with an initial speed of 13.9 m/s. The ball falls a vertical distance of 13.5 m into a lake below.
(a) How much time does the ball spend in the air?
(b) What is the speed v of the ball just before it strikes the water?

First, how long does it take to fall 48 m
t = √(2d/g)
t = √(2(48)/(9.8)) = 3.13 sec

now how far could the car move forward in that time
v = d/t or
v = 138/3.13 = 44.1 m/s

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