Question

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 3.5 seconds to swing from one side of the obstacle to the other and back, how Lind is the rope swing? Use the formula: T= 2 pi square root over L/9.8

Answer 1

Answer:

3.04m

Step-by-step explanation:

Time taken to swing the rope = 3.5s

Length of the rope = L

T = 2π√(L / 9.8)

3.5 = 2π√(L / 9.8)

take the square of both sides

(3.5)² =[2π√(L/9.8)]²

12.25 = 39.48 × (L / 9.8)

12.25 = 39.48L / 9.8

39.48L = 12.25 × 9.8

39.48L = 120.05

L = 120.05 / 39.48

L = 3.04m

The length of the rope is 3.04m