PhysicsImage of an object (real) approaching a convex mirror of radius of curvature 20m along its optical axis is observed to move from 253m to 507m in 30 seconds. What is the average speed of the object in km per hour.

Image of an object (real) approaching a convex mirror of radius of curvature 20m along its optical axis is observed to move from $\frac{25}{3} m$ to $\frac{50}{7} m$ in 30 seconds. What is the average speed of the object in km per hour.

Solution:

$\begin{array}{l} \frac{1}{v_{1}} + \frac{1}{u_{1}} = \frac{1}{f} \\ \frac{1}{u_{1}} = \frac{1}{10} - \frac{3}{25} = - \frac{1}{50} \Rightarrow u_{1} = - 50 m \\ similarly, \frac{1}{u_{2}} = \frac{1}{10} - \frac{7}{50} = - \frac{2}{50} \Rightarrow u_{2} = - 25 m \\ A v e r a g e s p e e d = \frac{u_{2} - u_{1}}{Δ t} = \frac{25}{30} = \frac{5}{6} \times \frac{18}{5} = 3 k m p h \end{array}$

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Image of an object (real) approaching a convex mirror of radius of curvature 20m along its optical axis is observed to move from $\frac{25}{3} m$ to $\frac{50}{7} m$ in 30 seconds. What is the average speed of the object in km per hour.

Solution:

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