Answer:
3.38061 seconds
Step-by-step explanation:
m = Mass of monkey = 15 kg
g = Acceleration due to gravity = 9.81 m/s²
a = Acceleration
u = Initial velocity
s = Displacement = 6.8 m
t = Time taken
The tension is given by

From equation of linear motion

The time taken to reach the banana without breaking the rope is 3.38061 seconds