Explanation Given: Radius of curvature of convex mirror is 2 m , jogger is at distance of 5 m from the mirror and is approaching it at speed of 3.5 ms − 1 . Formula used: Mirror equation relates the focal length of a mirror, object distance and the image distance. Write the expression for the mirror equation. 1 f = 1 u + 1 v ……. (1) Here, f is the focal length, v is the image distance and u is object distance. Rearrange above equation for v . v = ( 1 f − 1 u ) − 1 ……. (2) Differentiate above equation with respect to time on both sides. d v d t = d d t ( 1 f − 1 u ) − 1 = − ( 1 f − 1 u ) − 2 ( 1 u 2 ) ( d u d t ) ……. (3) Substitute v ' for d v d t , v for ( 1 f − 1 u ) − 1 and u ' for d u d t in equation (3). v ' = − ( v u ) 2 ( u ' ) ……

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ISBN: 9781429281843

Author: Tipler

Publisher: MAC HIGHER

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Chapter 32, Problem 99P

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Speed of image of jogger relative to the rear-view mirror in car.

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Chapter 32, Problem 98P

Chapter 32, Problem 100P

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Chapter 32 Solutions

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Speed of image of jogger relative to the rear-view mirror in car.

Solution Summary: The author explains how the mirror equation relates the focal length of a mirror, object distance and the image distance.

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