How Fast Must a Basketball Player Jump to Achieve a 98.2 cm Vertical Leap?

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To achieve a vertical leap of 98.2 cm, a 98.6 kg basketball player must leave the ground with an initial speed of 5.69 m/s. The player bends his legs, lowering his body by 67.0 cm before jumping, which means the total distance for the jump calculation is 1.652 m. The equation Vf² = vi² + 2ad is used, where the final velocity at the peak height is zero. The calculation shows that the initial velocity squared equals -32.38, leading to the conclusion that the initial velocity is 5.69 m/s. The discussion highlights confusion regarding the correct application of the distance in the jump calculation.
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Homework Statement


A 98.6 kg basketball player can leap straight up in the air to a height of 98.2 cm, as shown below. The player bends his legs until the upper part of his body is dropped by 67.0 cm, then he begins his jump. With what speed must the player leave the ground to reach a height of 98.2 cm?
http://capa.physics.mcmaster.ca/figures/kn/Graph08/kn-pic0848.png

Homework Equations


Vf2=vi2 + 2ad


The Attempt at a Solution


because the jumper bends his legs before jumping, the delta d would be 98.2cm + 67.0cm= 1.652 m.
and because he reaches max height when velocity is zero,
(0)= Vi2 + 2(-9.8)(1.652)
-Vi2= -32.38
Vi= 5.69 m/s

This answer is incorrect? I don't understand how to do this??
 
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In the problem the velocity of the player when he leaves the ground is required. So d is equal to Δd2.
 
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