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## Homework Statement

Suppose an object moves in such a way that its acceleration vector is always perpendicular to its velocity vector. Show that speed of the object is constant.

## Homework Equations

For two vectors to be perpendicular: A[itex]\bullet[/itex]B=0

Speed of the object = ||Velocity Vector||

## The Attempt at a Solution

I have no idea how to approach this question. How can the speed of the object affect whether or not the acceleration vector is perpendicular to the velocity vector?