How Do You Calculate Displacement at Reduced Velocity in Free-Fall Motion?

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SUMMARY

The discussion focuses on calculating the displacement of a stone thrown straight upward with an initial velocity of 10V when it reaches a velocity of 5V. Using the kinematic equations, specifically xf = x0 + v0t + 1/2at², vf = v0 + at, and vf² = v0² + 2ax, the conclusion is that the displacement at 5V is 0.75X. This indicates that at half the initial speed, the stone reaches a height that is three-quarters of the maximum height X.

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Homework Statement



A stone is thrown straight upward with a velocity of 10V and travels upward a distance X. What is the displacement when the object is traveling at 5V?

Homework Equations



xf=x0+v0t+1/2at^2

vf=v0+at

vf^2=v0^2+2ax

The Attempt at a Solution



.75X? Further, what's the most efficient way of solving for it?
 
Physics news on Phys.org
With half the speed the stone has 1/4 of the kinetic energy left so can only go 1/4*X higher or it is at 3/4*X when the speed is 5V.
 

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