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2. A particle moves on a coordinate line with an acceleration at time i seconds of et2 misec². At 1 = 0 the particle is at the origin, and its velocity is -4 m/sec. A. Find a function v(t) that gives the velocity of the particle at time 1.

2. A particle moves on a coordinate line with an acceleration at time i seconds of et2 misec². At 1 = 0 the particle is at the origin, and its velocity is -4 m/sec. A. Find a function v(t) that gives the velocity of the particle at time 1.

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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2. A particle moves on a coordinate line with an acceleration at time i seconds of e2 m/sec². At t = 0 the particle is at the origin, and its velocity is -4 m/sec. A. Find a function v(t) that gives the velocity of the particle at time t. B. At what (exact) time is the velocity of the particle 0 mls? C. Set up an expression (which may contain integrals, but not absolute values) to find the total distance traveled by the particle from time t = 0 to t = 6. You do not have to solve your expression.
Transcribed Image Text:2. A particle moves on a coordinate line with an acceleration at time i seconds of e2 m/sec². At t = 0 the particle is at the origin, and its velocity is -4 m/sec. A. Find a function v(t) that gives the velocity of the particle at time t. B. At what (exact) time is the velocity of the particle 0 mls? C. Set up an expression (which may contain integrals, but not absolute values) to find the total distance traveled by the particle from time t = 0 to t = 6. You do not have to solve your expression.
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