A particle moves along the x-axis with acceleration give by a(t) = 2t - 10 +12/t for t >= 1. A) Write and expression for the velocity v(t) given that v(1) = 9. B) For what values of t, 1 =< t < = 3, is the velocity a maximum? Justify your anser. C) Wrtie an expression for the position x(t), given that x(1)=-16
A particle moves along the x-axis with acceleration give by a(t) = 2t - 10 +12/t for t >= 1. A) Write and expression for the velocity v(t) given that v(1) = 9. B) For what values of t, 1 =< t < = 3, is the velocity a maximum? Justify your anser. C) Wrtie an expression for the position x(t), given that x(1)=-16
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 along the x-axis with acceleration give by a(t) = 2t - 10 +12/t for t >= 1.
A) Write and expression for the velocity v(t) given that v(1) = 9.
B) For what values of t, 1 =< t < = 3, is the velocity a maximum? Justify your anser.
C) Wrtie an expression for the position x(t), given that x(1)=-16
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