A child starts from rest and slides without friction from a height of h the air

Question

A child starts from rest and slides without friction from a height of h the air over the pool 9.2 m along a slide next to a pool (see figure). She is launched from a height of 1.7 m (ignore the h/5 in the figure) at an angle of 270 into 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.

Explanation / Answer

Speed at point of launch will be

mgh = mgh +1/2 mv^2

v = sqrt ( 2 * 9.8 * (9.2 -1.7))

V = 12.12 ms-1

The maximum height is given by

S = sqrt ((Vsin (theta))^2/2*g)

S = 1.24m

Hence the maximum height = 1.2+ 1.7 m = 2.9 m

(Please post the next questions as seperate questions)

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