If you can throw a stone straight up to height h, what's the maximum horizontal distance you could throw it over level ground?

Question

Roger Anthony

Physics

28 September, 19:12

If you can throw a stone straight up to height h, what's the maximum horizontal distance you could throw it over level ground?

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Answers (1)

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Ethen Harrell · Answer 1

To answer this question, first we take note that the maximum height that can be reached by an object thrown straight up at a certain speed is calculated through the equation,

Hmax = v²sin²θ/2g

where v is the velocity, θ is the angle (in this case, 90°) and g is the gravitational constant. Since all are known except for v, we can then solve for v whichi s the initial velocity of the projectile.

Once we have the value of v, we multiply this by the total time traveled by the projectile to solve for the value of the range (that is the total horizontal distance).