HW02 # 3 Four Projectiles Four projectiles are all shot over level ground here on earth. The projectiles are launched at four different angles, 20°, 30°, 45° and 60° above horizontal.

There are four steps for this problem: A. Intuition, B. Computation, C. Validation, and D. Discussion A. Intuition: In the table, use your intuition (not computations!) to evaluate the greatest "G" and least "L" scenarios for the set of 4 angles below for the following criteria (1) same horizontal range of 100m, (2) same maximum height of 10m, and (3) same initial velocity of 30 m/s. Criteria Angles Which has the greatest/least initial horizontal velocity? Which has the greatest/least initial vertical velocity? Which has the greatest/least Same Range 100m Same Initial Speed 30 m/s 20° 30° 45° 60° 20° 30° 45° 60° 20° 30° 45° 60° Same Max Height 10m 10- initial speed? Which has the greatest/least time in the air? Use "G" for greatest, "L" for least and "S" if all are the same/nB. Computation: For each angle/criteria, use an analytical tool of your choice (i.e. Excel, Matlab) to compute the a. Total Initial Velocity b. Initial Horizontal Velocity c. Initial Vertical Velocity d. Time to impact e. Max height f. Range (distance traveled horizontally) C. Validation: Now visit http://ophysics.com/k9.html and check your answers. You can show the numerical results by clicking the bottom check box. This won't have all the variables asked for in B, but enough where you can check your work. D. Discussion 1. Where was your intuition incorrect (between parts A and B)? 2. Which criteria (range, height, or speed) were the most challenging? Why? 3. Which was the only case where the greatest/least was NOT one of the lowest or highest angles? How can you explain this anomaly? 4. For the same initial speed criteria two of the projectiles have the same range, how can this be? Can you form a general rule about angles where this would hold true? Turn in the problem like a ~1 page lab report with results from Parts A, B, and D.