Given the vector:
vector r(t) = t i + 1/2 t^2 j + 1/3 t^3 k
What is the curvature at t = 1 and how do I calculate this?© BrainMass Inc. brainmass.com December 24, 2021, 5:47 pm ad1c9bdddf
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As we all know, the tangent vector measures the change of "distance" and thus gives the speed of a moving point. The speed change, or acceleration, is measured by the derivative of the tangent vector, which is the second derivative. In fact, there is one more interesting interpretation. Take X as a fixed point and P and ...
Curvature is investigated at a point. The given vectors for a function is determined.