How much work is needed to lift a 3kg create a vertical displacement of 22m
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Consider the upward direction of motion as positive and downward direction of motion as negative.
a = acceleration due to gravity in downward direction = - 9.81
v₀ = initial velocity of runner in upward direction = 2.0
v = final velocity of runner at the highest point = 0
x = distance by which center of mass of runner rise = ?
Using the kinematics
v² = v²₀ + 2 a x
inserting the values
0² = 2² + 2 (- 9.81) x
x = 0.204 m