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April 18, 2014

Homework Help: Calculus

Posted by Roscoe on Friday, September 21, 2012 at 9:34pm.

The displacement (in meters) of a particle moving in a straight line is given by the equation of motion
s = 5/t2,
where t is measured in seconds. Find the velocity of the particle at times
t = a, t = 1, t = 2, and t = 3.

(a) Find the average velocity during each time period.
(i) [1, 2]
cm/s

(ii) [1, 1.1]
cm/s

(iii) [1, 1.01]
cm/s

(iv) [1, 1.001]
cm/s

(b) Estimate the instantaneous velocity of the particle when t = 1.
cm/s

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