Maria and Juan are visiting a water park and decide to travel down different slides, as shown in the diagram. Although the slides are different, they both start and end at the same locations. Maria and Juan start their journey from rest and accelerate down their respective slides. Friction is negligible. Maria has a mass of 50 kg and Juan has a mass of 80 kg.

Aball is thrown from the top of a building with an initial velocity of 21.9 m/s straight upward, at an initial height of 51.6 m above the ground. the ball just misses the edge of the roof on its way down, as shown in the figure. (a) determine the time needed for the ball to reach its maximum height. (b) determine the maximum height. (c) determine the time needed for the ball to return to the height from which it was thrown, and the velocity of the ball at that instant. (d) determine the time needed for the ball to reach the ground. (e) determine the velocity and position of the ball at t = 5.35 s.