Please show all your work. Answers without supporting work will not be given credit. Please use g- 10m/s2 to simplify calculations on the exam. Please use proper mathematical notation for vectors, etc, and provide numerical answers with units. If you are providing a written answer, without an explanation, you will receive no credit. 1. (30) A ball is dropped vertically starting from rest, and strikes the ground at 4m/s. Using the" eliminating time" concept, and assuming there is no air drag, find the height from which the ball was dropped. For full credit, show the math starting from dux/drx 2. (10) In the prior problem, the ball rebounds off the floor at 3m/s. To what height will it rise? 3. (10) Given the same ball, what is its change in velocity over the duration of the impact with the ground? Is the answer a vector or scalar? 4. (30) Given the same ball (again!), what is the total time it takes from the moment it is dropped until it reaches max height after rebounding? Please add 0.is to your answer (for the time in contact with the floor). 5. (10) Using Newton's 2nd law written like F net =d p/dt find the average force for the time during ground contact given a mass of 0.8kg for the ball