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A child stands on a bank beside a pond, grasps the end of a 20.0m long...

A child stands on a bank beside a pond, grasps the end of a 20.0m long rope attached to a nearby tree and swings out to drop into the water. When the rope makes an angle of 15.0 (degrees) with the vertical, the child's speed is 5.00 m/s.

A. At what point in the swing does the child's maximum speed occur?

B. What is the child's maximum speed? Ignore all frictional effects.

C. Assuming the child stared from rest, what angle did the rope initially make with respect to the vertical?

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