Find the total distance traveled?

by Kratos321
Tags: calculus, differentiation
Kratos321 is offline
Oct24-11, 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!
Phys.Org News Partner Science news on
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
HallsofIvy is offline
Oct25-11, 06:20 AM
Sci Advisor
PF Gold
P: 38,898
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.

Register to reply

Related Discussions
Total distance traveled question Calculus & Beyond Homework 1
Total distance traveled by particle Calculus & Beyond Homework 3
Average speed, and total distance traveled Introductory Physics Homework 2
Find the total distance traveled Introductory Physics Homework 12