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Find the total distance traveled? 
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#1
Oct2411, 10:33 PM

P: 20

An object moves along the x – axis and the position of the object at is given by
x(t) = 2 + (3/pi)  (3/pi)(cos(pi/3)t) How do I find the total distance traveled by the object over the time interval 0≤t≤4.5 any help pls? I don't even know where to start. PLEASE! 


#2
Oct2511, 06:20 AM

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P: 39,682

First take the derivative to determine the speed, v. When is v 0? Those are the only times the direction of motion. changes You can then determine the distance movied during each interval by calculating x for those times when v=0 and subtracting x values for consecutive values of t. Of course, some of those will be negative. Add the absolute values to find the total distance moved.



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