Rocket Problem: If a rocket is fired straight up from Earth, it experiences acceleration

Chapter 10, Problem 12

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Rocket Problem: If a rocket is fired straight up from Earth, it experiences acceleration from two sources: Upward, au, in (meters per second) per second, due to the rocket engine Downward, ad, in (meters per second) per second, due to gravity The net acceleration is a = au + ad. However, the upward acceleration has a discontinuity at the time the rocket engine stops. Suppose that the accelerations are given by ad = 9.8, for all t a. Plot graphs of a and v versus t for the first 300 s. b. At what value of t does a become negative? At what value of t does v become negative? c. Find the displacement of the rocket at time t = 300 and the distance the rocket traveled between t = 0 and t = 300. What does the relationship between these two numbers tell you about what is happening in the real world at t = 100? d. How fast and in what direction is the rocket traveling at t = 300?

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