1. A 800 g mango is thrown by a chimpanzee off of the top of a 14 m tall tree. It is thrown with an initial upward velocity of 20 m/s and an initial horizontal velocity of 15 m/s. a) How long till the mango reaches the top of its arc? b) From the top of its arc how long till the mango reaches the ground? c) How far will the mango travel horizontally from the moment it is let go to when it reaches the ground? (Consider the combination of the time in both parts a and b.) 2. For the mango in Problem #1, how fast will it be moving vertically when it reaches the same height as the chimpanzee as it is falling down to the ground? no calculations for this problem, just the knowledge of freely falling objects. 3. You throw a ball straight up on an alien planet with an initial velocity of 21 m/s. It reaches a maximum height of 15 m, 4 seconds after it was thrown. a) Determine the acceleration due to gravity on this alien planet? b) How long will it take the ball to get back to your hand after you throw it and how and it which direction will it be moving just before it gets back to your hand. 4. You can apply 200 N or force to a 30 kg bicycle. If the bicycle starts from rest, determine the following: a) How far the bicycle travels in 10 s. b) How fast is the bicycle traveling after 10 s.