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## Homework Statement

An old rope can now safely suspend 120 kg. When the rope is tied to a beam, it hangs down with a vertical length of 12.0 m. Calculate the minimum time required for an 85 kg person starting from rest to climb the entire length of the rope without breaking it.

## Homework Equations

F = ma

Five key equations

## The Attempt at a Solution

a = f/m

a = 1176 N [down] / 85 kg

a = 13.835 m/s

^{2}

using d = vi(t) + 1/2at

^{2}

t = sqrt(1.73)

t = 1.3 s

But the correct answer is 2.4 s. What did I do wrong? Can someone please help?