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Activity 1.1.4

Avg difficulty 2.5

For the function given by s(t)=64−16(t−1)2s(t) = 64 - 16(t-1)^2 from Preview Activity, find the most simplified expression you can for the average velocity of the ball on the interval [2,2+h][2, 2+h]. Use your result to compute the average velocity on [1.5,2][1.5,2] and to estimate the instantaneous velocity at t=2t = 2. Finally, compare your earlier work in Activity.

Boelkins, Active Calculus, §1.1 How do we measure velocity?, Activity 1.1.4

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Adapted from Active Calculus © 2012–2025 Matthew Boelkins. Licensed under CC BY-SA 4.0. Source: Active Calculus. Imported at revision dc86ba3.