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## Homework Statement

A man bungee jumps off a cliff and free falls for 3 seconds. The bungee cord stops the jumper in 5 seconds. How far did the man fall in total?

## Homework Equations

X = V

_{0}t + 1/2at

^{2}

## The Attempt at a Solution

X

_{f}= X

_{1}+ X

_{2}

X

_{1}= V

_{1}

_{i}t

_{1}+ 1/2a

_{1}t

_{1}

^{2}

X

_{1}= 0 * 3 + 1/2 * -9.8 * 3

^{2}

X

_{1}= -44.1m or 44.1m (not sure if I should keep this absolute value or not...)

X

_{2}= V

_{2}

_{i}t

_{2}+ 1/2a

_{2}t

_{2}

^{2}

v

_{2}

_{i}= v

_{1}

_{f}= a

_{1}* t

_{1}

a

_{2}= Δv/t = (v

_{2}

_{f}- v

_{2}

_{i})/t = (v

_{2}

_{f}- (a

_{1}*t

_{1}))/t

_{2}

a

_{2}= (0 - (-9.8*3))/5 = 5.88

X

_{2}= (-9.8 * 3) * 5 + 1/2 * 5.88 * 25

X

_{2}= either -73.5m, 73.5m, or 220.5m [(9.8*3)*5 + 1/2*5.88*25] ? depending on whether everything is in absolute values or not, once again, I'm not sure.

X

_{f}= -44.1m + -73.5m

X

_{f}= -117.6m or 117.6m

Thanks!