Dan is standing a distance d = 25 m away from the base of a cliff of height H = 8 m. He is going to throw a baseball from 2 m above the ground at an angle = 53 above the horizontal with initial speed of 25 m/s. a) The ball will make it to the top of the cliff and Natalie is there to catch the ball. She can reach a height of 2 m with her arms stretched up in the air. Determine the closest position to the edge where Natalie should stand (horizontal distance from the edge of the cliff) so that she can catch the ball while the ball is descending. (10) b) What is the velocity of the ball when reaching her hands? (5) c) Determine the minimum and maximum distances dmin and dmax where Dan may stand and the ball still makes it to the top of the cliff. (10)