A spotlight is positioned 2.0 m from a vertical wall and rotates at a constant rate…
MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
A spotlight is positioned 2.0 m from a vertical wall and rotates at a constant rate of 0.40 rad/s. The beam strikes the wall at a point that is y meters above the foot of the wall. When the beam makes a 30∘ angle with the perpendicular to the wall, calculate dtdy, the speed at which the light spot moves upward along the wall. Express your answer in m/s.