Questions from a jumping kangaroo

Question

Comments

You can find out if your equations are correct by applying them to a particular case with a known solution which you can find on the internet - eg cylinder, half-cylinder, cuboid, triangular prism.

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That is a good suggestion but I dont know how to search for this type of problem.

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You could try.

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I did try thats why I posted. The only one I found was https://www.physicsforums.com/threads/minimum-velocity-required-by-grasshopper.886390/ which is a start.

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Good find. Also see  https://math.stackexchange.com/questions/2317985/firing-a-projectile-over-a-circular-obstacle and https://www.usna.edu/Users/physics/mungan/_files/documents/Scholarship/JumpingFrog.pdf