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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?

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?

Advanced Engineering Mathematics
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 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 <t₂. d.) When is the particle moving in the positive direction? When 0 <t< and t>
Transcribed Image Text: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 <t₂. d.) When is the particle moving in the positive direction? When 0 <t< and t>
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