84 kg athlete has his center of gravity 1.19 meters above the ground in a standing position (height that person comes off the ground during a jump).  During a squat jump, he crouches down so that his centre of gravity is 0.75 meters above the ground. As he jumps, he exerts an average force of 1280 Newtons against the ground. You can think of this average exerted force as the average normal force or average ground reaction force being read by the force plate during the takeoff phase of the jump.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
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A 84 kg athlete has his center of gravity 1.19 meters above the ground in a standing position (height that person comes off the ground during a jump).  During a squat jump, he crouches down so that his centre of gravity is 0.75 meters above the ground. As he jumps, he exerts an average force of 1280 Newtons against the ground. You can think of this average exerted force as the average normal force or average ground reaction force being read by the force plate during the takeoff phase of the jump.

a) Determine the maximum height that the person’s center of mass will reach in meters using the concepts of Work and Energy. 
b) What is magnitude of the person’s vertical velocity in m/s just as his feet leave the ground during the maximal vertical jump? 
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