1. A person standing on a tall building shoots up a toy rocket. The rocket travels...

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1. A person standing on a tall building shoots up a toy rocket. The rocket travels in a parabolic path and ultimately hits the ground. The height of the rocket while in the air after t seconds is given by h(t) -16t +64t + 192, measured in feet. a. b. = Sketch a well-labeled, accurate graph of the function h(t) over the appropriate domain. In addition to labeling and scaling the axes, at least 3 points should be labeled on your graph Use average velocities (as done in class) to estimate the instantaneous velocity of the rock at: 1 seconds 3 seconds C. Interpret the meaning of each answer in the previous part in the context of the problem. d. Show what your answers in part b represent graphically in your graph in part a. e. Your graph should be a parabola. What is the vertex of the parabola? What can you say about the height and the velocity of the rocket at that point? 1. A person standing on a tall building shoots up a toy rocket. The rocket travels in a parabolic path and ultimately hits the ground. The height of the rocket while in the air after t seconds is given by h(t) -16t +64t + 192, measured in feet. a. b. = Sketch a well-labeled, accurate graph of the function h(t) over the appropriate domain. In addition to labeling and scaling the axes, at least 3 points should be labeled on your graph Use average velocities (as done in class) to estimate the instantaneous velocity of the rock at: 1 seconds 3 seconds C. Interpret the meaning of each answer in the previous part in the context of the problem. d. Show what your answers in part b represent graphically in your graph in part a. e. Your graph should be a parabola. What is the vertex of the parabola? What can you say about the height and the velocity of the rocket at that point?