A person takes a running jump from one rooftop to another. If the first roof is 30m high, and the second roof is 35 meters high, the buildings are 5 meters apart, the velocity of the person is 6 m/s, and the person jumps at an angle of 25 degrees with respect to horizontal, will the person make the jump?

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Asked Sep 4, 2019
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A person takes a running jump from one rooftop to another. If the first roof is 30m high, and the second roof is 35 meters high, the buildings are 5 meters apart, the velocity of the person is 6 m/s, and the person jumps at an angle of 25 degrees with respect to horizontal, will the person make the jump?

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Expert Answer

Step 1

The maximum height of the projectile can be written as

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(v, sin 0)yheight h=y+ 2g [y height of the roof top] [(6m/s)(sin 250)] 2(9.8m/s) = 30 m = 30.33m 35m 30.33m

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Step 2

The horizontal range of the proj...

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R sin g (6m/s sin 250 9.8m/s2 =1.55m 5m >1.55m

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