You are a member of a Citizen\'s Committee investigating safety in the high scho

Question

You are a member of a Citizen's Committee investigating safety in the high school sports program. The Committee is interested in knee damage to athletes participating in the long jump (sometimes called the broad jump). The coach has her best long jumper demonstrate the event for you. He runs down the track and, at the take-off point, jumps into the air at an angle of 30 degrees above the horizontal. He comes down in a sand pit at the same level as the track 8.72 m away from his take-off point.

What is the magnitude of the velocity with which the jumper hits the ground?
m/s

What is the direction from which the jumper approaches the ground?
answer in degrees above the horizontal

Explanation / Answer

Range = v^2 sin 2 / g

8.72 = v^2 (3 /2)/9.8

v = 9.934 m/s

Since both jumping and landing heights are at the same level, he lands at 30 degrees to horizontal.

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