Suppose that a particle moving along a coordinate line hasvelocity v(t) = 25 + 10e0.05t

Chapter 5, Problem 62

(choose chapter or problem)

Suppose that a particle moving along a coordinate line has velocity \(v(t)=25+10 e^{-0.05 t} \mathrm{ft} / \mathrm{s}\).

What is the distance traveled by the particle from time \(t=0\) to time \(t=10\)?

Does the term \(10 e^{-0.05 t} \mathrm{ft} / \mathrm{s}\) have much effect on the distance traveled by the particle over that time interval?  Explain your reasoning.

Equation Transcription:

Text Transcription:

v(t) = 25 + 10e^−0.05t ft/s

t = 0

t = 10

10e^−0.05t ft/s

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