8. Properties of Curves

j. Tutorial on Properties of Curves

			To get started, click New Problem.

The position of an object at time t is:

\(\vec r(t)=\)

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Find its velocity.

\(\vec v(t)=\)

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Find its acceleration.

\(\vec a(t)=\)

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Find its jerk.

\(\vec j(t)=\)

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Find its speed.

\(|\vec v(t)|=\)

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Find its arc length between \(t=0\) and \(t=1\).

\(L=\)

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Find its unit tangent vector.

\(\hat T=\)

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Find \(\vec v\times\vec a\) and its magnitude.

\(\vec v\times\vec a=\)

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\(|\vec v\times\vec a|=\)

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Find its unit binormal vector.

\(\hat B=\)

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Find its unit normal vector.

\(\hat N=\)

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Find its curvature.

\(\kappa=\)

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Find its torsion.

\(\tau=\)

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Find its tangential acceleration.

\(a_T=\)

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Find its normal acceleration.

\(a_N=\)

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