Solving Long Jump: Find Take-Off Speed

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SUMMARY

The problem involves calculating the take-off speed of an athlete executing a long jump at a 29.6° angle, covering a horizontal distance of 7.43 meters. The key variables include time (t), initial velocity in the x direction (Vix), initial velocity in the y direction (Viy), and the overall initial speed (Vi). To solve this, kinematic equations for projectile motion must be applied, specifically focusing on horizontal displacement and vertical motion equations.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Basic trigonometry for angle calculations
  • Ability to solve for multiple variables in physics equations
NEXT STEPS
  • Review kinematic equations for projectile motion
  • Learn how to decompose initial velocity into horizontal and vertical components
  • Study the effects of launch angle on projectile distance
  • Practice solving similar physics problems involving projectile motion
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the mechanics of projectile motion, particularly in sports contexts like long jump analysis.

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Homework Statement


An athlete executing a long jump leaves the ground at a 29.6° angle and travels 7.43 m. What was the take-off speed?

I have 4 unknown variables: t, initial velocity in the x direction (Vix), initial velocity in the y direction (Viy). and the initial speed which I'm trying to find (Vi).

Which kinematic equations do I use? I've been stuck on this problem for a day now.
 
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It depends on what they mean by 'travels 7.43m'... They probably mean his horizontal displacement is 7.43m when he hits the ground. I'm going to assume this is the case.

Have you done similar questions before? what kind of motion can we assume this guy has while he is in the air?
 

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