The distance, d, in metres travelled by a boat from the moment it leaves shore can be modelled by the function d(t) = 0.002t³ + 0.05t² + 0.3t, where t is the time, in seconds. a) Determine the average rate of change of the distance travelled during the first 10 s after leaving the shore. b) Estimate the instantaneous rate of change 10 s after leaving the shore.
The distance, d, in metres travelled by a boat from the moment it leaves shore can be modelled by the function d(t) = 0.002t³ + 0.05t² + 0.3t, where t is the time, in seconds. a) Determine the average rate of change of the distance travelled during the first 10 s after leaving the shore. b) Estimate the instantaneous rate of change 10 s after leaving the shore.
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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Transcribed Image Text:2.
The distance, d, in metres travelled by
a boat from the moment it leaves shore
can be modelled by the function
d(t) = 0.002t³ + 0.05t² + 0.3t,
where t is the time, in seconds.
a) Determine the average rate of change of the
distance travelled during the first 10 s after
leaving the shore.
b) Estimate the instantaneous rate of change
10 s after leaving the shore.
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