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2. The acceleration of a particle moving along a horizontal line at t seconds is modelled by the function a(t) = (t²- 2)². It is known that the particle is located 2 units to the right of the origin when t = 0 and 1 unit to the left of the origin when t = 1. Find the position function s(t) and velocity function v(t) of the particle.

2. The acceleration of a particle moving along a horizontal line at t seconds is modelled by the function a(t) = (t²- 2)². It is known that the particle is located 2 units to the right of the origin when t = 0 and 1 unit to the left of the origin when t = 1. Find the position function s(t) and velocity function v(t) of the particle.

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. The acceleration of a particle moving along a horizontal line at t seconds is modelled by the function a(t) = (t²- 2)². It is known that the particle is located 2 units to the right of the origin when t = 0 and 1 unit to the left of the origin when t = 1. Find the position function s(t) and velocity function v(t) of the particle.
Transcribed Image Text:2. The acceleration of a particle moving along a horizontal line at t seconds is modelled by the function a(t) = (t²- 2)². It is known that the particle is located 2 units to the right of the origin when t = 0 and 1 unit to the left of the origin when t = 1. Find the position function s(t) and velocity function v(t) of the particle.
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