In the long jump, an athlete launches herself at an angle above the ground and l

Question

In the long jump, an athlete launches herself at an angle above the ground and lands at the same height, trying to travel the greatest horizontal distance. Suppose that on earth she is in the air for time t , reaches a maximum height h, and achieves a horizontal distance D.
A) If she jumped in exactly the same way during a competition on Mars, where g(Mars) is 0.379 of its earth value, find her time in the air.
Express your answer in terms of t.
B)If she jumped in exactly the same way during a competition on Mars, where g(Mars) is 0.379 of its earth value, find her maximum height.
Express your answer in terms of h.
C) If she jumped in exactly the same way during a competition on Mars, where g(Mars) is 0.379 of its earth value, find her horizontal distance.
Express your answer in terms of D .

Explanation / Answer

given
gm = 0.379g

a)

time in air = 2 v / g

time in mars = time in air * 1/0.379

time in mars = 2.64 t

b )

maximum height = v^2 / 2 g

height in mars = 2.64 h

c )

maximum range = v^2/g sin 2

range in mars = 2.64 D

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