An object in air approaches a stationary convex spherical glass surface of radius +30 cm at 3 cm/s. At the instant u=-50 cm, μ=3/2. What is the instantaneous image velocity?
Options

Question

An object in air approaches a stationary convex spherical glass surface of radius +30 cm at 3 cm/s. At the instant u=-50 cm, μ=3/2. What is the instantaneous image velocity?

G1 Physics · Accepted Answer

First v=-450.00 cm. Differentiation gives dv/dt=(μ₁/μ₂)(v/u)²du/dt=162.000 cm/s.