Projectile Puzzle

The maximum horizontal distance you can throw an object before it hits the ground is given by \(kh\), where \(k\) is a constant and \(h\) is the maximum height the object reaches if thrown directly upwards at the same initial speed.

What is the value of \(k\)?

Details and Assumptions

  • There is no air resistance.

  • The object is thrown from ground level in both cases.


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