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Math Help - Vector-valued functions and motion in space #2

  1. #1
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    Vector-valued functions and motion in space #2

    r(t) is the position of a particle in space at time t. Find the angle between the velocity and and acceleration vectors at time t=0.

    r(t)=(3t+1)i+(\sqrt{3})tj+t^{2}k,

    I can find the velocity and acceleration vectors easily. I just don't know how to find the angle between the vectors. Any help?

    Nevermind, I found it.

    \theta = cos^{-1}(\frac{u\cdot v}{|u||v|})
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    Find \arccos \left( {\dfrac{{v(0) \cdot a(0)}}<br />
{{\left\| {v(0)} \right\|\left\| {a(0)} \right\|}}} \right)
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