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Finding the Instantaneous Velocity

Avg difficulty 2.5

A ball is tossed upward from a height of 200 feet with an initial velocity of 36 ft/sec. If the height of the ball in feet after t t seconds is given by s(t)=−16 t 2 +36t+200, s \left(t\right) = −16 t^{2} + 36 t + 200 , find the instantaneous velocity of the ball at t=2. t = 2.

OpenStax Precalculus 2e, 12.4 Derivatives, exercise 20

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.