In boot camp a cadet must use a rope swing to cross an obstacle without falling into the water hazard below. unfortunately they miss the platform on the other side and swing back to where they started. if it takes the cadet 5.5 seconds to swing from one side of the obstacle to the other and back how long is the rope swing ?

732.21 m

Step-by-step explanation:

Given the time taken by cadet to cross an obstacle and swing back to where he started = 5.5 seconds

The formula for a complete oscillation(to and fro) period is

where:

T is the period of oscillations - time that it takes for the pendulum to complete one full back-and-forth movement.

L is the length of the pendulum

g is the acceleration of gravity, which is equal to 9.81 m/s^2

5.5 = 2 π √(L / 9.81)

5.5/2π = √(L / 9.81)

8.64 = √L / 9.81

8.64 ² = L / 9.81

74.64 = L / 9.81

L = 74.64 * 9.81

L = 732.21 m

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y