The height of a projectile fired in the air vertically with initial velocity 25 m/s is

Chapter 2, Problem 32

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The height of a projectile fired in the air vertically with initial velocity 25 m/s is h(t) = 25t 4.9t 2 m (a) Compute h(1). Show that h(t) h(1) can be factored with (t 1) as a factor. (b) Using part (a), show that the average velocity over the interval [1, t] is 20.1 4.9t. (c) Use this formula to find the average velocity over several intervals [1, t] with t close to 1. Then estimate the instantaneous velocity at time t = 1.

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