Projectile Motion on a sloped surface

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Homework Help Overview

The problem involves a projectile launched from a sloped surface at a specific angle and speed. The goal is to determine the distance from the launch point where the projectile lands and the time taken to reach that point, considering the projectile's motion and the slope's angle.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss resolving the angles involved and the implications of treating the sloped surface as horizontal. Questions arise about deriving equations for both the projectile's path and the slope to find their intersection.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to model the problem. Some guidance has been offered regarding deriving equations from the projectile motion principles, but there is no consensus on how to proceed due to the lack of dimensions provided in the problem.

Contextual Notes

Participants note that the absence of specific dimensions in the problem statement may complicate the analysis. The original poster expresses difficulty in approaching the problem, highlighting the need for clarification on how to interpret the given information.

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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