A particle moves according to the law of motion s(t) = t³ - 7t² + 5t, t > 0, where t is measured in seconds and s in feet.a.) Find the velocity at time t.Answer:b.) What is the velocity after 3 seconds?Answer:c.) When is the particle at rest? Enter your answer as a comma separated list. Enter None if the particle is never at rest.At t₁ =and t₂ =with t₁

Given that a particle moves according to the law of motion s(t)=t3-7t2+5t, t≥0.…

Answered: A particle moves according to the law…

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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A particle moves according to the law of motion s(t) = t3 - 7t2 + 5t, t≥ 0, where t is measured in seconds and s in fe a.) Find the velocity at time t. Answer: b.) What is the velocity after 3 seconds?