You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle 8 in radians is related to the linear height of the object h and to the distance d by 8= h/d. Assume that you are driving a car and that another car, 1.50 m high, is 21.0 m behind you. 3 OBJECTS IN MIRROR ARE CLOSER THAN THEY APPEAR (a) Suppose your car has a flat passenger-side rearview mirror, 1.55 m from your eyes. How far from your eyes is the image of the car following you? m (b) What angle does the image subtend in your field of view? rad (c) Suppose instead your car has convex rearview mirror (see figures) with a radius of curvature of magnitude 1.80 m. How far from your eyes is the image of the car following you? Jm

You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle 8 in radians is related to the linear height of the object h and to the distance d by 8= h/d. Assume that you are driving a car and that another car, 1.50 m high, is 21.0 m behind you. 3 OBJECTS IN MIRROR ARE CLOSER THAN THEY APPEAR (a) Suppose your car has a flat passenger-side rearview mirror, 1.55 m from your eyes. How far from your eyes is the image of the car following you? m (b) What angle does the image subtend in your field of view? rad (c) Suppose instead your car has convex rearview mirror (see figures) with a radius of curvature of magnitude 1.80 m. How far from your eyes is the image of the car following you? Jm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Applications Of Reflection Of Light

When a light ray (termed as the incident ray) hits a surface and bounces back (forms a reflected ray), the process of reflection of light has taken place.

Sign Convention for Mirrors

A mirror is made of glass that is coated with a metal amalgam on one side due to which the light ray incident on the surface undergoes reflection and not refraction.

Question

You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle in radians is related to the linear height of the object h and to the distance d by 0= h/d. Assume that you are
driving a car and that another car, 1.50 m high, is 21.0 m behind you.
870
&
❀
६
OBJECTS IN MIRROR ARE
CLOSER THAN THEY APPEAR
The Far Side by Gary Larson 1985 FarWorks, Inc. All Rights Reserved. Used with permission.
(a) Suppose your car has a flat passenger-side rearview mirror, 1.55 m from your eyes. How far from your eyes is the image of the car following you?
m
(b) What angle does the image subtend in your field of view?
rad
(c) Suppose instead your car has a convex rearview mirror (see figures) with a radius of curvature of magnitude 1.80 m. How far from your eyes is the image of the car following you?
m
(d) What angle does the image subtend at your eyes?
rad
(e) Based on its angular size, how far away does the following car appear to be?
m

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