Ski Jumper's Initial Velocity - Solve the Problem

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SUMMARY

The discussion focuses on calculating the initial velocity of a ski jumper who lands 51.0 m horizontally from the ramp with a final velocity of 23.0 m/s at an angle of 43.0 degrees below the horizontal. To solve this problem, participants emphasize the importance of resolving the final velocity into its x and y components and applying kinematic equations. The key equation discussed is x = 1/2at² + v₀t + x₀, which is essential for determining the initial conditions of the jump.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of vector resolution into components
  • Familiarity with projectile motion concepts
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study the principles of projectile motion in physics
  • Learn how to resolve vectors into their components
  • Explore the effects of gravity on projectile trajectories
  • Practice solving problems using kinematic equations
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Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators looking for examples of real-world applications of kinematic equations.

ayerski
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Homework Statement


After :Leaving the end of a ski ramp, a ski jumper lands downhill at a point that is displaced 51.0 m horixontally from the end of the ramp. His velocity, just before lenading, is 23.0m/s and points in a direction 43.0 degress below the horizontal. Neglecting air resistance and lift he experiences while airborne, find his initial velocity (magnitude and direction) when he left the end of the ramp. Express the direction as an angle relative to the horizontal.



Homework Equations


x = 1/2at(squared) +volt +xo


The Attempt at a Solution


Thinking I should use the final velocity and figure out how much the acceleration of gravity has effected it, just need some guidance there.
 
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Yeap you are correct you just have to resolve the velocity into the x and y component.
 

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