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## Homework Statement

Question: Provided all else is equal, if a ball is thrown at half the original speed will it travel half as far?

## Homework Equations

Δx = vΔt

## The Attempt at a Solution

In projectile motion, the time of flight will be the same no matter the horizontal velocity, as long as the height is the same. When I plug two different velocities into the above equation ( one being half of the other), the displacement is half.

Issue with this? The answer in the book states this is not true. What am I doing wrong or not considering?