An olympic runner leaps over a hurdle. the acceleration of gravity is 9.81 m/s2 . if the runner’s initial vertical speed is 2.0 m/s, how much will the runner’s center of mass be raised during the jump?

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

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