Question: An object is shot vertically upward from the ground with an 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 object against time (with upward positive) is a line.
(c) Using the starting velocity and your answer to part (b), find the time at which the object reaches the highest point.
(d) Use your answer to part (c) to decide when the object hits the ground.
(e) Graph the velocity against time. Mark on the graph when the object reaches its highest point and when it lands.
(f) Find the maximum height reached by the object by considering an area on the graph.
(g) Now express velocity as a function of time, and find the greatest height by antidifferentiation.