Velocity and Distance Neglecting air resistance, the height (in meters) of an object

Chapter 5, Problem 13

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Velocity and Distance Neglecting air resistance, the height (in meters) of an object thrown vertically from the ground with initial velocity v0 is given by h(t) = v0t 1 2 gt2 where g = 9.81m/s2 is the earths gravitational constant and t is the time (in seconds) elapsed since the object was released (a) Find the time at which the object reaches its maximum height. (b) Find the maximum height. (c) Find the velocity of the object at the time it reaches its maximum height. (d) At what time t > 0 will the object reach the initial height again?

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