Question

If a child crawls towards a mirror at a rate of 0.25 m/s, then at what speed will the child and the child 's image approach each other?

Select one: a. 0.25 m/s b.0.50 m/s c. 0.125 m/s d. 1 m/s

Answer 1

$$\begin{gathered} \mathrm{Velocity}\mathrm{of}\mathrm{child}\text{'}\mathrm{s}\mathrm{image}\mathrm{with}\mathrm{respect}\mathrm{to}\mathrm{mirror}=\mathrm{Velocity}\mathrm{of}\mathrm{child}\mathrm{with}\mathrm{respect}\mathrm{to}\mathrm{the}\mathrm{mirror} \\ =0.25\mathrm{m}/\mathrm{s} \\ \mathrm{Velocity}\mathrm{of}\mathrm{child}\text{'}\mathrm{s}\mathrm{image}\mathrm{with}\mathrm{respect}\mathrm{to}\mathrm{the}\mathrm{child}= \\ \mathrm{Velocity}\mathrm{of}\mathrm{child}\text{'}\mathrm{s}\mathrm{image}\mathrm{with}\mathrm{respect}\mathrm{to}\mathrm{mirror}+\mathrm{Velocity}\mathrm{of}\mathrm{child}\mathrm{with}\mathrm{respect}\mathrm{to}\mathrm{the}\mathrm{mirror} \\ =0.25+0.25 \\ \mathbf{=}\mathbf{0}\mathbf{.}\mathbf{50}\mathbf{}\mathbf{m}\mathbf{/}\mathbf{s} \end{gathered}$$