Question

Calculus Problem? A particle traveling on a number line has a velocity function given by v(t)=sin(t). Calculate the total distance traveled by the particle on the interval [-pi/2,2pi].

Answer 1

to find total distance, you need to integrate the given velocity function and evaluate on the given bounds.

Answer 2

you need to do it for under the x-axis, OVER the x-axis. You should be familiar with sine graph at this point

Answer 3

try it. if you need help. ask.