A child starts at rest and slides down a frictionless slide as in picture. The bottom of the track is a height h above the ground. The child then leaves the track horizontally, striking the ground at a distance d as shown. (a) Using conservation of energy, find the speed of the child at the end of the slide (b) Using your answer to part (a) and equations related to a projectile, determine the initial height H of the child above the ground in terms of h and d. Н d

A child starts at rest and slides down a frictionless slide as in picture. The bottom of the track is a height h above the ground. The child then leaves the track horizontally, striking the ground at a distance d as shown. (a) Using conservation of energy, find the speed of the child at the end of the slide (b) Using your answer to part (a) and equations related to a projectile, determine the initial height H of the child above the ground in terms of h and d. Н d