AP Physics ~ A good jump in the long jump event is

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SUMMARY

A long jump distance of 3.7 meters requires a specific launch speed when the jumper takes off at an angle of 25°. The correct approach involves using the principles of projectile motion, specifically separating the vertical and horizontal components of motion. The initial calculations suggested a speed of 13.1 m/s using the equation vf²=vi²+2aY, but this is incorrect for horizontal distance. The proper method involves calculating the time of flight using the vertical component and then determining the horizontal range.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Knowledge of trigonometric functions
  • Ability to separate vertical and horizontal motion components
NEXT STEPS
  • Study the equations of motion for projectile motion
  • Learn how to calculate time of flight in projectile motion
  • Explore the relationship between launch angle and range
  • Practice solving problems involving horizontal and vertical components of motion
USEFUL FOR

Students studying physics, coaches in track and field, and athletes looking to improve their long jump technique.

Silverbolt
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A good jump in the long jump event is 3.7m. If the jumper leaves the ground at an angle of 25°, what speed must he need to jump the 3.70m distance?

→Could you use this equation: vf²=vi²+2aY aka (final velocity)²= (initial velocity)²+2(acceleration)(distance in the y-direction)
→So, that would be: 0=(vsin25 °)²+2(-9.8)(3.7)∴ v=13.1m/s

Please help me if I am wrong.
 
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Silverbolt said:
A good jump in the long jump event is 3.7m. If the jumper leaves the ground at an angle of 25°, what speed must he need to jump the 3.70m distance?

→Could you use this equation: vf²=vi²+2aY aka (final velocity)²= (initial velocity)²+2(acceleration)(distance in the y-direction)
→So, that would be: 0=(vsin25 °)²+2(-9.8)(3.7)∴ v=13.1m/s

Please help me if I am wrong.

It is in x direction(long jump) not y direction(high jump)
 
You can't use the formula which you have used.
In the projectile motion, the time of flight can be found by using vertical component of the velocity and the range can be found by using horizontal component of the velocity. Now try to solve the problem.
 

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