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A particle is moving in a straight line such that its velocity varies as v = v 0 e -λt . Find the average velocity during the time interval in which the velocity decrease from v 0 to v 0 /2

A particle is moving in a straight line such that its velocity varies as v = v0e-λt . Find the average velocity during the time interval in which the velocity decrease from v0 to v0/2

Grade:11

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
Dear student

Vo /2 = Vo exp(-lambda*t)
t = (ln(2))/lambda

Avg velo = net displacement/ total time

Net displacement = integral (Vo exp(-lambda*t)dt)/((ln2)/lambda)

Hope you can solve further

Regards

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