*67. O The cheetah is one of the fastest-accelerating animals, because it can go from rest to 27 m/s (about 60 mi/h) in 4.0 s. If its mass is 110 kg, determine the average power developed by the cheetah during the acceleration phase of its motion. Express your answer in (a) watts and (b) horsepower.

A 72.0 kg swimmer jumps into the old swimming hole from a tree limb that is 3.75 m above the water. 1) Use energy conservation to find his speed just as he hits the water if he just holds his nose and drops in. Express your answer in meters per second.   2) Use energy conservation to find his speed just as he hits the water if he bravely jumps straight up (but just beyond the board!) at 2.20 m/s. Express your answer in meters per second.   3) Use energy conservation to find his speed just as he hits the water if he manages to jump downward at 2.20 m/s. Express your answer in meters per second.

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1.At an amusement park, a swimmer uses a water slide to enter the main pool. If the swimmer starts at rest, slides without friction, and descends through a vertical height of 2.31 m, what is her speed at the bottom of the slide?Draw and Explain.