A particle moves along the x axis. Its position is given by the equation x = 2.5 + 2.6t - 3.5t-with x in meters and t in seconds. (a) Determine its position when it changes direction. (b) Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.) m/s

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A particle moves along the x axis. Its position is given by the equation 

x = 2.5 + 2.6t − 3.5t2

with in meters and t in seconds.

 

 

A particle moves along the x axis. Its position is given by the equation x = 2.5 + 2.6t – 3.5t?with x in meters and t in seconds.
(a) Determine its position when it changes direction.
m
(b) Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.)
m/s
Transcribed Image Text:A particle moves along the x axis. Its position is given by the equation x = 2.5 + 2.6t – 3.5t?with x in meters and t in seconds. (a) Determine its position when it changes direction. m (b) Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.) m/s
Expert Solution
Step 1

Position of a particle is given by :x = 2.5 +2.6t - 3.5t2Velocity of the particle is given by :v = dx(t)dtv = d(2.5 +2.6t - 3.5t2)dtv = 2.6 -7t 

 

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