1. ## Calculating Velocity...

Okay, so I'm having trouble with this problem.

at time t in seconds, a particle's distance s(t) , in centimeters, from a point is given by s(t)=4+3sint. What is the average velocity of the particle from t=pi/3 to t=7pi/3?

I got...
4+3sin(pi/3)=6.59807...
4+3sin(7pi/3)=6.59807...

Since they equal the same thing, if i were to put it into the equation
s(b)-s(a)/b-a

it equals 0, and i have a feeling that's not right...

2. Originally Posted by JAMESveeder
Okay, so I'm having trouble with this problem.

at time t in seconds, a particle's distance s(t) , in centimeters, from a point is given by s(t)=4+3sint. What is the average velocity of the particle from t=pi/3 to t=7pi/3?

I got...
4+3sin(pi/3)=6.59807...
4+3sin(7pi/3)=6.59807...

Since they equal the same thing, if i were to put it into the equation
s(b)-s(a)/b-a

it equals 0, and i have a feeling that's not right...
it's correct ... $\frac{\pi}{3}$ is co-terminal with $\frac{7\pi}{3}$ ... their respective sine values are equal.

3. Okay, thank you. I always question myself so much in math.