Projectile Motion on a sloped surface

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SUMMARY

The discussion focuses on solving a projectile motion problem involving a projectile launched at 10 m/s from a sloped surface angled at 30 degrees. The projectile is launched at a 45-degree angle relative to the horizontal. Participants emphasize the importance of deriving equations for both the projectile's parabolic trajectory and the sloped surface to find their intersection point, which determines where the projectile lands. The need for a systematic approach using projectile motion equations is highlighted, as guessing dimensions from a diagram is discouraged.

PREREQUISITES
  • Understanding of projectile motion equations
  • Knowledge of trigonometry, specifically angle resolution
  • Familiarity with parabolic equations
  • Ability to solve systems of equations for intersections
NEXT STEPS
  • Study the derivation of projectile motion equations in two dimensions
  • Learn how to resolve angles in projectile motion problems
  • Research methods for finding intersections of curves and lines
  • Explore examples of projectile motion on inclined planes
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators seeking to enhance their teaching methods in this area.

Doonami
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Homework Statement


A projectile is launched at 10m/s from a sloped surface. The surface is angled 30degrees, and the projectile is launched off from the surface at a 45degrees angle relative to the horizon.

Find the distance from the launching point where the projectile lands.
How long does it take to reach this point?

Homework Equations


v = 10 m/s

The Attempt at a Solution


I've tried solving this by resolving the angled plane as the horizon, giving the projectile angled at 75degrees, but I don't think this is the right way to proceed, the parabolic shape would not be preserved by this, and the length from origin would be wrong.

Thanks for the help, I'm really struggling how to approach this problem.
 

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Can you come up with an equation describing the parabola? And one describing the sloped surface? Find their intersection.
 
I considered that as well. However no dimensions are given. The picture provided is almost exactly as it was presented.
 
Doonami said:
However no dimensions are given. The picture provided is almost exactly as it was presented.
Don't try to guess it off the diagram. Derive it from projectile motion equations.
 

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