An object is shot vertically upward from the ground withan initial velocity of 160

Chapter 6, Problem 21

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An object is shot vertically upward from the ground withan initial velocity of 160 ft/sec.(a) At what rate is the velocity decreasing? Give units.(b) Explain why the graph of velocity of the objectagainst time (with upward positive) is a line.(c) Using the starting velocity and your answer topart (b), find the time at which the object reachesthe highest point.(d) Use your answer to part (c) to decide when the objecthits the ground.(e) Graph the velocity against time. Mark on the graphwhen the object reaches its highest point and whenit lands.(f) Find the maximum height reached by the object byconsidering an area on the graph.(g) Now express velocity as a function of time, and findthe greatest height by antidifferentiation.