Answer:
Explanation:
Given
length of rope 
velocity while running 
when the person jumps off the bank and hang on the rope then we can treat the person as pendulum with Time period T which is given by




Greatest Possible distance will be covered when person reaches the other extreme end of assumed pendulum (velocity=zero)
therefore he must hang on for 0.5 T time

Answer:
it's sqrt 175 which is pretty close to 14(sqrt 176)
Explanation:
geo mean is a*b
then square rooted
to get the mean
Force = mass*acceleration
acceleration = Force/mass
If you double the mass then acceleration will be halved in order for the equation to still equal.
New acceleration = Force/(2)mass
New acceleration = (1/2)* Force/mass------->if you compare this to original acceleration equation above it is 1/2