A child running 1.5m/s slides for .3s and slows down to 1.1m/s what is the acceleration during the slide?

At maximum height, kinetic energy is converted in potential energy  formula: at max height, ke = ½ * 0.27kg * (16m/s) ² = 34.56 j  so the remaining pe = (41.70 – 34.56)= 7.14 j = 0.27 kg * 9.8m/s² * h  = (9.8/7.14 * 0.27)so max height h = 5.08 or 5 m 

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There was no intial y-momentum so the net final y-momentum must also be 0. they can have final velocities in the y-direction