Projectile motion-range calculation

AI Thread Summary
The discussion focuses on calculating the range of a stone thrown from an inclined hill at a specific angle and speed. Participants are trying to derive the distance the stone travels before hitting the ground, using equations related to projectile motion. There's a request for a labeled diagram to assist in visualizing the problem, as well as discussions on resolving the launch velocity into vertical and horizontal components. Some participants express confusion about the calculations, particularly when the projectile exceeds its expected range. The conversation emphasizes the need for algebraic methods to solve the problem without numerical data.
Apleo
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Warning! Posting template must be used for homework questions. Effort must be shown in the Attempt at a Solution.
1. the surface of a hill is inclined at α to horizontal,a stone is thrown from the top of the hill at initial speed u at angle β with vertical line. How far from the top will the stone strike the ground?

2. R=(u^2 sin2θ)\g or by rotational co ordinate geometry3. can't prove that the dist covered by the stone is 2(u^2 sinβcos(α-β))\gcos^2 α
 
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How did you go about trying to solve this? Where is your labelled diagram ?

The provided answer is correct, it's the distance measured along the sloping ground
 
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shall i send you a labelled diagram
 
How shall i start the calculation?
 
Apleo said:
shall i send you a labelled diagram
Attach a jpeg to your forum post.
 
the curve of projectile is not perfect...if you cannot understand please ask! AND sorry for late reply!
 

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The launch velocity can be shown resolved into 2 components.

The time taken to cover distance CB can be established.
 
i had tried but got stuck!
 
Apleo said:
i had tried but got stuck!
Show the working of your attempt.
 
  • #10
i had got confused with it because the projectile had exceeded its range so i can't solve it , i just checked mine calculation its wrong so suggest me how to start!
 
  • #11
It has to be worked using algebra, as no numerical data is provided.

Can you resolve the launch velocity into vert and horiz components?

Using your diagram, CB is the horizontal distance the projectile travels, because after traveling for that time & distance it hits terrain.
 
  • #12
yes i had resolved it into vert & hoz components...but after that what should i do?
 
  • #13
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Apleo said:
yes i had resolved it into vert & hoz components...
Well, what is your answer---how do you express the components of its initial velocity?
 
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