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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.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.)
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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