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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 4.5 seconds to swing from one side of the obstacle to the other and back, how long is the rope swing? Use the formula:A.5.0 metersB.2.9 metersC.12.6 metersD.4.3 meters

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 si class=

Respuesta :

Given:

[tex]T=4.5\text{ seconds}[/tex]

Required:

To find the length of the rope swing.

Explanation:

Consider the formula

[tex]T=2\pi\sqrt{\frac{L}{9.8}}[/tex]

Now

[tex]\begin{gathered} 4.5=2\times3.142\sqrt{\frac{L}{9.8}} \\ \\ 0.7161=\sqrt{\frac{L}{9.8}} \\ \\ \frac{L}{9.8}=0.5127 \\ \\ L=0.5127\times9.8 \\ \\ L=5.02m \end{gathered}[/tex]

Final Answer:

The length is 56.0 meters.