Homework Help: CALCULUS

Posted by Terry on Sunday, August 29, 2010 at 11:36am.

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 3sin(št) + 5cos(št), where t is measured in seconds. (Round all answers to the nearest hundredth.)
(a) Find the average velocity during the time period [1, 2].
cm/s

(b) Find the average velocity during the time period [1, 1.1].
cm/s

(c) Find the average velocity during the time period [1, 1.01].
cm/s

(d) Find the average velocity during the time period [1, 1.001].
cm/s

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

CALCULUS - Terry, Sunday, August 29, 2010 at 11:42am
That should be sin(pi times t) not whatever symbol is up there.. sorry
CALCULUS - Terry, Sunday, August 29, 2010 at 12:20pm
Nevermind I figured it out
CALCULUS - Reiny, Sunday, August 29, 2010 at 12:27pm
a) to d) are all done the same way

I will do b)

when t=1
s = 3sin(pi) + 5 cos (pi)
= -5
when t=1.1
s = 3sin(1.1pi) + 5cos(1.1pi)
= -5.682333

average velocity = (-5.682333 - (-5))/(1.1-1)
= -6.8233

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