Projectile Motion Long Jump Question

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SUMMARY

In the discussion regarding Ms. Bongiorno's long jump, it is established that she jumped 7.59 meters horizontally and was airborne for 0.72 seconds. The speed at which she jumped can be calculated using the formula for horizontal motion, yielding a speed of 10.54 m/s. Additionally, the angle of her jump can be determined using projectile motion equations, specifically the relationship between horizontal distance, time, and vertical motion.

PREREQUISITES
  • Understanding of basic physics concepts, particularly projectile motion
  • Familiarity with kinematic equations
  • Knowledge of horizontal and vertical velocity components
  • Ability to perform calculations involving time, distance, and speed
NEXT STEPS
  • Study the kinematic equations for projectile motion
  • Learn how to decompose velocity into horizontal and vertical components
  • Explore the effects of gravity on projectile trajectories
  • Practice solving similar problems involving horizontal jumps and angles
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of projectile motion, particularly in sports contexts like long jumping.

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Homework Statement


Ms. Bongiorno is competing in the Olympics in the long jump. She jumps 7.59m horizontally and is in the air for 0.72s.
a) With what speed did she jump?
b) At what angle did she jump?

Homework Equations

The Attempt at a Solution


My attempt at the solution is shown below. Can anyone verify my work and see if I am on the right track? Thanks. All help is very much appreciated!
 

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I agree with your answers.
 

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