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:

$\vec r(t)=$

Find its velocity.

$\vec v(t)=$

Find its acceleration.

$\vec a(t)=$

Find its jerk.

$\vec j(t)=$

Find its speed.

$|\vec v(t)|=$

Find its arc length between $t=0$ and $t=1$ .

$L=$

Find its unit tangent vector.

$\hat T=$

Find $\vec v\times\vec a$ and its magnitude.

$\vec v\times\vec a=$

$|\vec v\times\vec a|=$

Find its unit binormal vector.

$\hat B=$

Find its unit normal vector.

$\hat N=$

Find its curvature.

$\kappa=$

Find its torsion.

$\tau=$

Find its tangential acceleration.

$a_T=$

Find its normal acceleration.

$a_N=$