Calculus on UCM

Calculus Level 3

A laser source, situated at a distance \(d\) from a plane wall \(P\), rotates around an axis \(E\), with constant angular velocity \( \omega \), emitting a laser beam marks a red spot that moves in a straight line along the wall. The red spot has an instantaneous velocity \(v\). The picture represents a view from above. Find \(v\) in terms of \(\omega\), \(d\) and the angle \( \theta \).

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