A child starts from rest and slides without friction from a, Physics

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A child starts from rest and slides without friction from a

A child starts from rest and slides without friction from a height of h = 9.6 m along a slide next to a pool (see figure). She is launched from a height of 0.8 m (ignore the h/5 in the figure) at an angle of 30^o into the air over the pool.

531_A child starts from rest and slides without frictio.png

What is her maximum height above the water after leaving the slide?

Hint: it is possible to do this without doing projectile motion, even desirable as we are trying to learn conservation of energy; this problem does require you to use conservation of energy more than once.

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