Solving the High Jump Velocity Puzzle

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SUMMARY

The discussion centers on calculating the initial velocity of a high jumper who takes off at an angle of 27 degrees and lands 7.8 meters away. Participants emphasize the need for two formulas to solve the problem due to the presence of two variables in the equations. The conversation highlights the importance of using both projectile motion equations to derive the initial velocity accurately.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions
  • Knowledge of kinematic equations
  • Basic algebra skills for solving equations
NEXT STEPS
  • Research the equations of motion for projectile trajectories
  • Learn how to decompose velocity into horizontal and vertical components
  • Explore the use of trigonometric identities in physics problems
  • Study examples of solving similar projectile motion problems
USEFUL FOR

Students studying physics, educators teaching projectile motion, and anyone interested in solving real-world problems involving angles and distances in sports science.

jazz836062
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I have a problem. I think that I am just not seeing it the right way. "A high jumper leaves the ground at a 27degrees and lands 7.8 m away. What is the initial velocity. Every formula I have keeps giving me two variables.
 
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Welcome to PF!

Hi jazz836062 ! Welcome to PF! :smile:
jazz836062 said:
Every formula I have keeps giving me two variables.

Then you need two formulas! :wink:

What two formulas do you think will work? :smile:
 

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