A hiker inspects a tree frog sitting on a small stick in his hand. Suddenly startled, the hiker drops the stick from rest at a height of 1.55 m above the ground and, at the same instant, the frog leaps vertically upward, pushing the stick down so that it hits the ground 0.480 s later. Find the height of the frog at the instant the stick hits the ground if the frog and the stick have masses

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A hiker inspects a tree frog sitting on a small stick in his hand. Suddenly startled, the hiker drops the stick from rest at a height of 1.55 m above the ground and, at the same instant, the frog leaps vertically upward, pushing the stick down so that it hits the ground 0.480 s later. Find the height of the frog at the instant the stick hits the ground if the frog and the stick have masses of 7.45 g and 4.30 g, respectively. (Hint: Find the center-of-mass height at t = 0.480 s for the frog-stick system and then use the definition of center of mass to solve for the frog's height. Enter your answer in m.)
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