n the long jump, an athlete launches herself at an angle above theground and lan

Question

n the long jump, an athlete launches herself at an angle above theground and lands at the same height, trying to travel the greatesthorizontal distance. Suppose that on earth she is in the air fortime T, reaches a maximum height h, and achieves ahorizontal distance D. If she jumped in exactly the same way duringa competition on Mars, where gravity is .379 of its earth value,find her time in the air, maximum height, and horizontal distance.Express the answers in terms of it's earth value. Air resistance isneglected.

Explanation / Answer

Maximum height reached by athlete =h= v²sin²theta/2g

Maximum height reached on Mars=h/0.379

Time of flight on earth=T= 2vsin theta/g

Time of flight on Mars=T/0.379

Horizontal distance travelled on Earth=D=v²sin(2*theta)/g

Horizontal distancr travelled on Mars=D/0.379

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