How Fast Did Nicole Throw the Ball?

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SUMMARY

The problem involves calculating the initial velocity at which Nicole threw a ball that passes Chad, who is positioned 5.90 meters above the release point. The ball has a final velocity of 15.0 m/s as it descends past Chad. Utilizing the kinematic equation V final = V initial + a(delta t), where 'a' represents acceleration due to gravity (approximately -9.81 m/s²), allows for the determination of the initial velocity. The height difference is crucial for establishing the time of flight and solving for the initial speed.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of acceleration due to gravity (9.81 m/s²)
  • Ability to manipulate algebraic equations
  • Familiarity with projectile motion concepts
NEXT STEPS
  • Study the derivation of kinematic equations in physics
  • Learn how to apply the conservation of energy principle in projectile motion
  • Explore examples of vertical motion problems in physics
  • Practice solving for initial velocity in various projectile scenarios
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Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators seeking to clarify concepts related to vertical motion and initial velocity calculations.

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Homework Statement


This problem has really been bugging me, and i can't seem to figure it out. Heres the question:

Nicole throws a ball straight up. Chad watches the ball from a window 5.90 m above the point where Nicole released it. The ball passes Chad on the way up, and it has a speed of 15.0 m/s as it passes him on the way back down.

How fast did nicole throw the ball?

I don't understand how the guy in the window at 4.9m meters helps me at all. Any help will be greatly apprectiated. Thanks.

Homework Equations



V final = V initial + a(delta t)

The Attempt at a Solution

 
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