Image Motion – Problem 1

\[ S = V \times T \] \[ S = \frac{93mi. (\frac{1.61km.}{1mi.})(\frac{1000m.}{1km.})}{1hr. (\frac{3600sec.}{1hr.})} \times \frac{1}{250}sec. \] \[ S = 0.1663666666666667m. \] \[ S \approx 0.17m. \leftarrow \text{answer} \]

\[ PS = \frac{f}{H-h} \] \[ PS = \frac{3.5in. (\frac{1ft.}{12in.})}{2625ft.-0} \] \[ PS = \frac{1}{8999.999999999999} \] \[ PS \approx \frac{1}{9000} \leftarrow \text{answer} \]

\[ IM = \frac{0.2778vtf}{H}mm. \] \[ IM = \frac{0.2778[\frac{93mi.}{1hr.}(\frac{1.61km.}{1mi.})](\frac{1}{250}sec)[3.50in. (\frac{25.40mm.}{1in.})]}{2625ft. (\frac{12in}{12ft.})(\frac{25.40mm.}{1in.})(\frac{1m.}{1000mm.})}mm. \] \[ IM = 0.018486664mm. \times \frac{1000\mu m.}{1mm.} \] \[ IM = 18.486664 \mu m. \] \[ IM \approx 18.50 \mu m. \leftarrow \text{answer} \]