A particle moves along the x-axis so that its velocity at any given time is = 2t - 3 and x (0) = 3. v(t) = a.) Find the equation for position of the particle as a function of t, ,x(t). b.) Find the position of the particle at t = 3. c.) At what values of t does the particle change direction? d.) Where is the particle when the position is a minimum?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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1. A particle moves along the x-axis so that its velocity at any given time is
= 2t - 3 and x (0) = 3.
v(t) =
a.) Find the equation for position of the particle as a function of t, x(t).
b.) Find the position of the particle at t = 3.
c.) At what values of t does the particle change direction?
d.) Where is the particle when the position is a minimum?
Transcribed Image Text:1. A particle moves along the x-axis so that its velocity at any given time is = 2t - 3 and x (0) = 3. v(t) = a.) Find the equation for position of the particle as a function of t, x(t). b.) Find the position of the particle at t = 3. c.) At what values of t does the particle change direction? d.) Where is the particle when the position is a minimum?
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