As usual, Wile E. Coyote (genius!) is trying to catch the Roadrunner. The Roadrunner is standing...

  

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As usual, Wile E. Coyote (genius!) is trying to catch the Roadrunner. The Roadrunner is standing at the top of a cliff. Wile E. is at the bottom of a slope, wearing his ACME "road skis" and a rocket pack. He accelerates up the slope and launches into the air aiming for the Roadrunner. Everything goes perfectly until he reaches the end of the slope going 60.0 m/s as shown in Figure 1(b). Now he is airborne. He has calculated that the thrust of the rocket is enough to allow him to go over the top of the cliff that is 120 m from the top of the slope. Unfortunately the rocket malfunctions and stops providing thrust just as he leaves the top of the slope, with predictable results. clif 120 m THE MEND (a) Distance to prey v. time for a dolphin. Source b) Wile E Cayote at the moment of launch. P. L Tyack, "Human-generated sound and marine mammal", Phynica Today, 62. 30-44, (2009). (a) What is Wile E's time of flight before slamming into the cliff? Reminder: this is a numerical answer. You should be able to easily assess whether it is reasonable by considering a simpler, but similar, situation. (b) How far up from the base of the cliff does Wile E. hit it? Again, assess your answer. You certainly know what range the answer should lie within, so the assessment should be simple. (c) What is Wile E. 's velocity (not speed.) upon impact with the cliff? Again, assess your answer. One component you should just "know" and so you are really just judging whether the other component seems reasonable. (d) BONUS: Suppose Wile E.'s rocket pack had not failed. His total acceleration during tlight would have been the vector sum of acceleration due to gravity, plus an acceleration due to the rocket pack (we will learn a better way to think of this later in the course). Suppose the acceleration due to the rocket pack is directed 20° above the horizontal. What magnitude of acceleration would the rocket pack have had to provide for Wile E. to just barely get to the top of the cliff? This is VERY NASTY to solve all the way to a mumber. The mathematical expressions get quite large. If you know Maple (those who took calculus with me know Maple) it could be very helpful. Another option is to use a spreadsheet. ANCE As usual, Wile E. Coyote (genius!) is trying to catch the Roadrunner. The Roadrunner is standing at the top of a cliff. Wile E. is at the bottom of a slope, wearing his ACME "road skis" and a rocket pack. He accelerates up the slope and launches into the air aiming for the Roadrunner. Everything goes perfectly until he reaches the end of the slope going 60.0 m/s as shown in Figure 1(b). Now he is airborne. He has calculated that the thrust of the rocket is enough to allow him to go over the top of the cliff that is 120 m from the top of the slope. Unfortunately the rocket malfunctions and stops providing thrust just as he leaves the top of the slope, with predictable results. clif 120 m THE MEND (a) Distance to prey v. time for a dolphin. Source b) Wile E Cayote at the moment of launch. P. L Tyack, "Human-generated sound and marine mammal", Phynica Today, 62. 30-44, (2009). (a) What is Wile E's time of flight before slamming into the cliff? Reminder: this is a numerical answer. You should be able to easily assess whether it is reasonable by considering a simpler, but similar, situation. (b) How far up from the base of the cliff does Wile E. hit it? Again, assess your answer. You certainly know what range the answer should lie within, so the assessment should be simple. (c) What is Wile E. 's velocity (not speed.) upon impact with the cliff? Again, assess your answer. One component you should just "know" and so you are really just judging whether the other component seems reasonable. (d) BONUS: Suppose Wile E.'s rocket pack had not failed. His total acceleration during tlight would have been the vector sum of acceleration due to gravity, plus an acceleration due to the rocket pack (we will learn a better way to think of this later in the course). Suppose the acceleration due to the rocket pack is directed 20° above the horizontal. What magnitude of acceleration would the rocket pack have had to provide for Wile E. to just barely get to the top of the cliff? This is VERY NASTY to solve all the way to a mumber. The mathematical expressions get quite large. If you know Maple (those who took calculus with me know Maple) it could be very helpful. Another option is to use a spreadsheet. ANCE

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Qecaue Rockat stops proulding tueuet tuai it is Sem a case of projeetile AnoHou din 1 460 m... View the full answer