The displacement of an object, in metres, is given by ƒ(t)=5t³ − 4t² +1 −3, where t is time in seconds. Find the average rate of change of displacement with respect to time from t = 1s to t = 4s. Determine the instantaneous rate of change of displacement with respect to time at t= 4s. (Use an h value 0.01.)
The displacement of an object, in metres, is given by ƒ(t)=5t³ − 4t² +1 −3, where t is time in seconds. Find the average rate of change of displacement with respect to time from t = 1s to t = 4s. Determine the instantaneous rate of change of displacement with respect to time at t= 4s. (Use an h value 0.01.)
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.CR: Chapter 3 Review
Problem 51CR
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Transcribed Image Text:5. The displacement of an object, in metres, is given by f(t) = 5t³ - 4t² +1-3, where t is time in seconds.
(a) Find the average rate of change of displacement with respect to time from t = 1s to t=4s.
(b) Determine the instantaneous rate of change of displacement with respect to time at t = 4s. (Use an h value
of 0.01.)
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