A firework is shot into the air such that its height, h, in metres, after t seconds can be modelled by the function h(t) = -4.9t² + 27t + 2. a) Determine the average rate of change of the height of the firework from 1 second to 2 seconds. [ b) Estimate the instantaneous rate of change of the firework after 1 second.

A firework is shot into the air such that its height, h, in metres, after t seconds can be modelled by the function h(t) = -4.9t² + 27t + 2. a) Determine the average rate of change of the height of the firework from 1 second to 2 seconds. [ b) Estimate the instantaneous rate of change of the firework after 1 second.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...

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