Calculating Initial Velocity of Metal Ball on Ramp

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SUMMARY

The discussion focuses on calculating the initial velocity of a metal ball launched from a ramp, given the horizontal range and launch angle, while accounting for vertical displacement. Key equations mentioned include the projectile motion equations, specifically the range equation and the vertical displacement formula. Participants emphasize the need to resolve the initial velocity into horizontal and vertical components to accurately determine the initial velocity using trigonometric functions. The conclusion is that both the horizontal and vertical motion equations must be combined to solve for the initial velocity effectively.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions (sine, cosine)
  • Knowledge of kinematic equations
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation of the projectile motion equations
  • Learn how to apply trigonometric functions to resolve vectors
  • Explore the effects of vertical displacement on projectile motion
  • Practice solving problems involving initial velocity calculations in different scenarios
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of projectile motion and velocity calculations in real-world applications.

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Homework Statement



If I have the horizontal range and a launch angle, how can I calculate the initial velocity of a metal ball if the vertical displacement is not zero?


Homework Equations





The Attempt at a Solution

 
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what have you tried?

what equations have you used/do you think you could use?
 

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