Recitation 2: Plotting one dimensional motion. 1) A model rocket is launched straight upward from the ground with an initial speed v. It accelerates with a constant upward acceleration of a engine until its engines stop at an altitude of h. Eventually the rocket hits the ground. A) Draw a quick picture of this motion. B) Refine your picture by turning it into a height vs time (y vs t) graph. There are four important times for this rocket: time of launch, time that the engine stops, time that the rocket achieves maximum height, and time that the rocket reaches the ground. Give these four times symbolic names and include them, along with v; and h in your graph. y C) Refine your picture further by drawing a velocity vs time (v vs t) graph. Make sure you include the four times mentioned above as well as aengine, Vi, and h. t D) Explicitly explain how you included vi on each graph. (one should be obvious the other is a bit subtle.) E) Use the equation y = yo + vot + at to find the time the engine stops. How is this connected to your graph B)? (all answers need to be in terms of vo, h, aengine, and g) Ans: -vo+v+2haengine aengine F) Use the answer from E) to find the velocity of the rocket when the engine stops. How is your equation connected to your graph in C)? (all answers need to be in terms of vo, h, aengine, and g) G) What is the maximum height reached by the rocket? How is your method for finding this maximum height connected to one of the graphs? (all answers need to be in terms of vo, h, aengine, and g)