A-man-standing-10m-away-from-a-plane-mirror-moves-towards-the-mirror-with-a-speed-of-2m-s-Calculate-a-The-speed-with-which-his-image-in-the-mirrow-approaches-him-b-How-far-is-the-man-from-his-ima

Question Number 221913 by Tawa11 last updated on 12/Jun/25

A man standing 10m away from a plane
mirror moves towards the mirror with a
speed of 2m/s. Calculate
(a) The speed with which his image in the
mirrow approaches him
(b) How far is the man from his image
after 3 seconds.

Answered by fantastic last updated on 12/Jun/25

$$\left.{a}\right)\mathrm{2}{m}/{s} \\ $$$$\left.{b}\right)\:{relative}\:{speed}\:\mathrm{2}+\mathrm{2}\Rightarrow\mathrm{4}{m}/{s} \\ $$$${after}\:\mathrm{3}\:{second}\:{distaece}\:{covered}\:{by}\:{both}=\mathrm{4}×\mathrm{3}=\mathrm{12}{m} \\ $$$${total}\:{distance}\:\mathrm{10}+\mathrm{10}=\mathrm{20}{m} \\ $$$${so}\:\mathrm{20}−\mathrm{12}=\mathrm{8}{m} \\ $$

Commented by Tawa11 last updated on 12/Jun/25

$$\mathrm{Thanks}\:\mathrm{sir}. \\ $$

Commented by Tawa11 last updated on 12/Jun/25

$$\left(\mathrm{a}\right) \\ $$$$\mathrm{So},\:\mathrm{since}\:\mathrm{the}\:\mathrm{object}\:\mathrm{approaches}\:\mathrm{2m}/\mathrm{s}. \\ $$$$\mathrm{Image}\:\mathrm{too}\:\mathrm{will}\:\mathrm{approach}\:\mathrm{2m}/\mathrm{s}. \\ $$$$\mathrm{I}\:\mathrm{was}\:\mathrm{adding}\:\:\:\:\mathrm{2}\:+\:\mathrm{2}\:\:=\:\:\mathrm{4m}/\mathrm{s}\:\:\mathrm{before}. \\ $$

Commented by fantastic last updated on 13/Jun/25

$${that}\:\mathrm{2}+\mathrm{2}\:{would}\:{be}\:{the}\:{velocity}\:{in}\:{which} \\ $$$${they}\:{approach}\:{each}\:{other}.\left[{relative}\:{speed}\right] \\ $$$$ \\ $$$${you}\:{asked}\:{the}\:{velocity}\:{of}\:{the}\:{image} \\ $$

Commented by mr W last updated on 13/Jun/25

$${the}\:{image}\:{moves}\:{with}\:{a}\:{speed}\:{of} \\ $$$$\mathrm{2}\:{m}/{s}\:{towards}\:{him},\:{or} \\ $$$${the}\:{image}\:{approaches}\:{him}\:{with}\:{a} \\ $$$${speed}\:{of}\:\mathrm{4}\:{m}/{s}. \\ $$

Commented by mr W last updated on 13/Jun/25

$${i}\:{think}\:{this}\:{is}\:{more}\:{a}\:{question}\:{of}\: \\ $$$$“{english}\:{language}\:{understanding}''. \\ $$$${let}'{s}\:{let}\:{a}\:{native}\:{english}\:{speaker} \\ $$$${judge}. \\ $$

Commented by mr W last updated on 13/Jun/25

$${this}\:{is}\:{what}\:{ChatGPT}\:{answers}: \\ $$

Commented by mr W last updated on 13/Jun/25

Commented by fantastic last updated on 13/Jun/25

$$\overset{\ast\:\:\:\:\:} {\boldsymbol{{r}elativ}}\overset{\ast} {\boldsymbol{{e}}} \\ $$

Commented by Tawa11 last updated on 13/Jun/25

$$\mathrm{Velocity}\:\mathrm{of}\:\mathrm{image}\:\mathrm{of}\:\mathrm{the}\:\mathrm{man}\:\mathrm{as}\:\mathrm{observed} \\ $$$$\mathrm{by}\:\mathrm{the}\:\mathrm{the}\:\mathrm{man}\:\left(\mathrm{object}\right)\:\:=\:\:\mathrm{2}\:\:+\:\:\mathrm{2}\:\:=\:\:\mathrm{4m}/\mathrm{s} \\ $$$$\mathrm{What}\:\mathrm{I}\:\mathrm{think}. \\ $$

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