Monkey Climbing Rope: Solving for the Least Time to Reach a Banana at 6.90m

[alfredo24pr]

Homework Statement

A 12.0 kg monkey starts to climb a long rope to reach a banana located at a height of 6.90 m. The rope will snap if the tension exceeds 132 N. Calculate the least amount of time the monkey could take to reach the banana without breaking the rope.

Homework Equations

F=ma
x=xo +volt +1/2 at2

The Attempt at a Solution

I know that F=ma, therefore 132=12a
a=11m/s2

Then,
6.90 = 0 + 1/2 (11)t2
t2 = 1.25
t=1.12s

Something must be wrong, please help

 

[alfredo24pr]

nevermind, i solved it!