1. a) The time for a swing to move forward and backwards can be determined by the formula:

T =2π√(L/9.8)

T represents the time it takes the swing to move through one complete cycle forward and backward and L represents the length of the rope supporting the swing.

Determine the length of the rope for a swing that takes 3.4 seconds to move forward and backwards. round to the tenth.

b) What are the restrictions on the variable L?