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7) A particle P moves along the x-axis in such a way that its acceleration at any instant t20 is given by a(t) = 10 + 66t + 6t2. Determine the position x(t) and the velocity v(t) of the particle at instant t=2, assuming that initially the particle is located at x=3 and at t=1 it is at x=6. Suppose x is given in meters and t in seconds. а) г(2) — 83 v(2) — 148.5 b) x(2) = 92 v(2) = 154.5 с) 2 (2) — 74 u(2) — 154.5 %3D

7) A particle P moves along the x-axis in such a way that its acceleration at any instant t20 is given by a(t) = 10 + 66t + 6t2. Determine the position x(t) and the velocity v(t) of the particle at instant t=2, assuming that initially the particle is located at x=3 and at t=1 it is at x=6. Suppose x is given in meters and t in seconds. а) г(2) — 83 v(2) — 148.5 b) x(2) = 92 v(2) = 154.5 с) 2 (2) — 74 u(2) — 154.5 %3D

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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7) A particle P moves along the x-axis in such a way that its acceleration at any instant t20 is given by a(t) = 10 + 66t + 6t?. Determine the position x(t) and the velocity v(t) of the particle at instant t=2, assuming that initially the particle is located at x=3 and at t=1 it is at x=6. Suppose x is given in meters and t in seconds. a) x(2) = 83 v(2) = 148.5 %3D b) x(2) = 92 v(2) = 154.5 c) x(2) = 74 v(2) = 154.5
Transcribed Image Text:7) A particle P moves along the x-axis in such a way that its acceleration at any instant t20 is given by a(t) = 10 + 66t + 6t?. Determine the position x(t) and the velocity v(t) of the particle at instant t=2, assuming that initially the particle is located at x=3 and at t=1 it is at x=6. Suppose x is given in meters and t in seconds. a) x(2) = 83 v(2) = 148.5 %3D b) x(2) = 92 v(2) = 154.5 c) x(2) = 74 v(2) = 154.5
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