#509 Starting from rest, a 68.0 kg woman jumps

Starting from rest, a 68.0 kg woman jumps - Physics

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Starting from rest, a 68.0 kg woman jumps down to the floor from a height of 0.790 m, and immediately jumps back up into the air. While she is in contact with the ground during the time interval

0 < t < 0.800 s,

the force she exerts on the floor can be modeled using the function

F = 9,200t − 11,500t²

where F is in newtons and t is in seconds.

(a) What impulse (in N · s) did the woman receive from the floor? (Enter the magnitude. Round your answer to at least three significant figures.)

in N · s

(b) With what speed (in m/s) did she reach the floor? (Round your answer to at least three significant figures.)

in m/s

(c) With what speed (in m/s) did she leave it? (Round your answer to at least three significant figures.)

in m/s

(d) To what height (in m) did she jump upon leaving the floor?

in m

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