A child starts from rest and slides without friction from a height of h = 9.7 m

Question

A child starts from rest and slides without friction from a height of h = 9.7 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 27? into the air over the pool.

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.
m

Explanation / Answer

(9.7-.8)*9.81=.5v^2-- v=13.21---- 13.21*sin27=6-- .5*36=9.81*h----- h=1.83-- h max=1.83+.8=2.634

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