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## Homework Statement

One object is dropped and falls for T seconds. Another object is dropped and falls for 3T seconds. Compare the distances fallen and their impact velocities, mathematically.

## Homework Equations

v = d/t

## The Attempt at a Solution

Just by reasoning it out, I know that the second object will fall 9 times as far and at 3 times the speed. However, I am not sure how to reason this out mathematically.

When comparing the distances fallen, I get d = v(t) for the first object and d = v(3t) for the second object. However, I can't seem to find a way to compare these equations.

Thanks! All help is very much appreciated!