A point object is 30 cm from a concave mirror of focal length 20 cm. It moves at 5 cm/s making 37° with the principal axis, with the axial component toward the mirror. Use cos37°=4/5 and sin37°=3/5. What are the magnitudes of the image's axial and transverse velocity components?
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Question

A point object is 30 cm from a concave mirror of focal length 20 cm. It moves at 5 cm/s making 37° with the principal axis, with the axial component toward the mirror. Use cos37°=4/5 and sin37°=3/5. What are the magnitudes of the image's axial and transverse velocity components?

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G1 Physics · Accepted Answer

At u=30 cm, v=60 cm and |m|=2. Object axial speed=4 cm/s and transverse speed=3 cm/s. Axial image speed magnitude=|m|²×4=16; transverse magnitude=|m|×3=6.