A standing vertical jump. NFL player Gerald Sensabaugh recorded a 46 inch standi

Question

A standing vertical jump. NFL player Gerald Sensabaugh recorded a 46 inch standing vertical jump at the 2005 NFL Combine, at that time the highest for any NFL player in the history of the Combine. Sensabaugh weighed about 200 lb when he set the record. (a) What was his speed as he left the floor? (b) If the jump motion took 0.300 s, what were the magnitude and direction of his acceleration (assuming it to be constant) while he was pushing against the floor? (c) Draw a free-body diagram of Sensabaugh during the jump. (d) Use Newton’s laws and the result s of part (b) to calculate the normal force on his face as he jumped.

Explanation / Answer

g = 385.82 inch/s2

a) v = sqrt(2gh) = sqrt(2 x 385.82 x 46) = 188.4 inch/s

b) magnitude of accelaration = v/t = 188.4/0.3 = 628.013 inch/s2

d) normal force = m(g+a) = 200(385.82 + 628.013) = 202766.6 lb(inch/s2)

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