4. A particle's position is given by the function p(t) = 3t + 4.1 sin(t) for t > 0. Find the total distance that the particle travels on the interval 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4. A particle's position is given by the function p(t) = 3t + 4.1 sin(t) for t > 0. Find the total
distance that the particle travels on the interval 0 <t< 3.5.
A. 9.062
В. 7.939
C. 10.877
D. 9.969
Transcribed Image Text:4. A particle's position is given by the function p(t) = 3t + 4.1 sin(t) for t > 0. Find the total distance that the particle travels on the interval 0 <t< 3.5. A. 9.062 В. 7.939 C. 10.877 D. 9.969
Expert Solution
Step 1

Given that, the position function is pt=3t+4.1sint and the interval is 0t3.5.

Differentiate the function pt=3t+4.1sint with respect to t to find the velocity function.

ddtpt=ddt3t+4.1sint=3+4.1cost

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