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Starting from rest, a 55.0 kg woman jumps down to the floor from a height of 0.690 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.) (b) With what speed (in m/s) did she reach the floor? (Round your answer to at least three significant figures.) (c) With what speed (in m/s) did she leave it? (Round your answer to at least three significant figures.)

Starting from rest, a 55.0 kg woman jumps down to the floor from a height of 0.690 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.) (b) With what speed (in m/s) did she reach the floor? (Round your answer to at least three significant figures.) (c) With what speed (in m/s) did she leave it? (Round your answer to at least three significant figures.)

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...
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Starting from rest, a 55.0 kg woman jumps down to the floor from a height of 0.690 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.)
(b) With what speed (in m/s) did she reach the floor? (Round your answer to at least three significant figures.)
(c) With what speed (in m/s) did she leave it? (Round your answer to at least three significant figures.)
(d) To what height (in m) did she jump upon leaving the floor?
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