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Math Help - Calculating Velocity...

  1. #1
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    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...
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  2. #2
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    Quote Originally Posted by JAMESveeder View Post
    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.
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  3. #3
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    Okay, thank you. I always question myself so much in math.
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