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Differential Equations: A 77 kg sprinter jumps over a hurdle that is 0.8 m above the...

Differential Equations:

A 77 kg sprinter jumps over a hurdle that is 0.8 m above the ground. The sprinter's initial velocity is 4 m/sec. If the air resistance is 7v, determine the velocity of the sprinter when he hits the ground.

Note: Use g = 9.81 m/sec2 and apply Newton's second law for a falling object mv' = mg - bv

Please show your work step by step.

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