n a more accurate model, energy is lost while jumping. We will model the energy converted to heat and sound as E0 and the energy expended while jumping as E jump = 1/2mv12 sin 2 . This results in a more sophisticated model: E1 = E0 E0 E jump All subsequent questions will use this model. Question 5: Using our new model, derive an equation for v1 in terms of , v 0, and . Explain why your answer is reasonable. In your explanation, consider = 0, = 45 and = 90. In other words, consider what happens as launch angle varies and what that does to your 1, and how that helps show that your answer is reasonable. Question 6: Find the range R in terms of v0 , , g and .