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# Vector Functions : Parametric Representation of Acceleration and Velocity

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Show that, if the acceleration of an object is always perpendicular to the velocity, then the speed of the object is constant. (hint, the speed is given by ).

Show that, at a local maximum or minimum is perpendicular to .

https://brainmass.com/math/vector-calculus/parametric-representation-acceleration-velocity-32904

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â€¢ Show that, if the acceleration of an object is always perpendicular to the velocity, then the speed of the object is constant. ...

#### Solution Summary

Parametric Representations of Acceleration and Velocity are investigated. The objects that are always perpendicular to the velocity are determined.

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