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

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SUMMARY

The discussion focuses on calculating the initial velocity required for a 98.6 kg basketball player to achieve a vertical leap of 98.2 cm. The player bends his legs, dropping his upper body by 67.0 cm before jumping, resulting in a total distance of 1.652 m. Using the kinematic equation Vf² = Vi² + 2ad, the initial velocity (Vi) was calculated to be 5.69 m/s. However, the calculation was deemed incorrect, indicating a misunderstanding of how to apply the equation in this context.

PREREQUISITES
  • Understanding of kinematic equations, specifically Vf² = Vi² + 2ad
  • Basic knowledge of physics concepts related to motion and gravity
  • Familiarity with unit conversions, particularly between centimeters and meters
  • Ability to manipulate algebraic equations to solve for unknown variables
NEXT STEPS
  • Review the application of kinematic equations in vertical motion scenarios
  • Study the concept of gravitational acceleration and its effect on jumping
  • Explore the relationship between initial velocity and maximum height in projectile motion
  • Practice solving similar physics problems involving vertical leaps and initial velocities
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Students studying physics, particularly those focusing on mechanics and motion, as well as coaches and athletes interested in understanding the physics behind vertical jumps in basketball.

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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??
 
Last edited by a moderator:
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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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