An exponential reversal with exact distance

An exponential reversal with exact distance

6 marks
TGM Original
A particle has velocity v=2-et m,s-1 for 0 <= t <= ln4 seconds. Find its total distance and average speed, giving exact answers and the average speed to three significant figures.

Solution:

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Answer:Distance \(1\) m; average speed \(\dfrac{1}{\ln4}\approx0.721\ \mathrm{m\,s^{-1}}\).

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