Problem) A ball is thrown into the air, but the ground below is not flat - it makes an angle o above the horizontal

Problem) A ball is thrown into the air, but the ground below is not flat - it makes an angle o above the horizontal. The ball initially moves uphill with speed vo at an angle & above the unlevel ground. Choose perpedicular axes with measured directly up the slope of the ground, y normal to the ground, and 2 horizontal. vo (a) Anticipate Dimensions and Beasts of the Position: Before solving for the equations of motion, state what dimen- sions (not units) and “beast" (mathematical entity) you expect for the position. (In the future, you should check dimensions in every calculation and even in intermediate steps). (b) Calculate the Equations of Motion: Use Newton's second law to find the position of the projectile as a function of time. (C) Check Dimensions and Beasts: What “beast" (mathematical entity) is your answer? What dimensions (not units) does your answer have? Do these match your anticipations? (d) Anticipate the Functional Behavior: What variables do you expect the range of the projectile (your answer to part (:)) to depend on? As you vary one of those variables how do you expect the range to change and why? Repeat for each variable. (e) Calculate the Range: Calculate the range of the ball (i.e., the distance traveled along the unlevel ground). Use trig identities to simplify your results as much as possible.