An object is thrown directly downward from the top of a cliff. The distance that the object has fallen in meters after t seconds is given by the function d(t) = 5t + 4.9t2, t ≥ 0. a) Determine the average rate of change of the distance fallen for each interval. i) 0 ≤ t ≤ 3ii) 2 ≤ t ≤ 4iii) 3 ≤ t ≤ 5 b) Sketch a graph of the function on a separate sheet of paper. c) Use a difference quotient to estimate the instantaneous rate of change of the distance fallen at each time. i) t = 2 sii) t = 4 s
An object is thrown directly downward from the top of a cliff. The distance that the object has fallen in meters after t seconds is given by the function d(t) = 5t + 4.9t2, t ≥ 0. a) Determine the average rate of change of the distance fallen for each interval. i) 0 ≤ t ≤ 3ii) 2 ≤ t ≤ 4iii) 3 ≤ t ≤ 5 b) Sketch a graph of the function on a separate sheet of paper. c) Use a difference quotient to estimate the instantaneous rate of change of the distance fallen at each time. i) t = 2 sii) t = 4 s
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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An object is thrown directly downward from the top of a cliff. The distance that the object has fallen in meters after t seconds is given by the function d(t) = 5t + 4.9t2, t ≥ 0.
a) Determine the average rate of change of the distance fallen for each interval.
i) 0 ≤ t ≤ 3
ii) 2 ≤ t ≤ 4
iii) 3 ≤ t ≤ 5
b) Sketch a graph of the function on a separate sheet of paper.
c) Use a difference quotient to estimate the instantaneous rate of change of the distance fallen at each time.
i) t = 2 s
ii) t = 4 s
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