A person moving horizontally with velocity \(\overrightarrow{\mathrm{V}_{m}}\) . Rain falls vertically with velocity \(\overrightarrow{\mathrm{V}_{R}}\) To save himself from the rain, he should hold an umbrella with vertical at an angle of –
A. \(\tan ^{-1}\left(\frac{V_{R}}{V_{m}}\right)\)
B. \(\tan ^{-1}\left(\frac{V_{m}}{V_{R}}\right)\)
C. \(\tan \theta=\mathrm{V}_{m}+\mathrm{V}_{\mathrm{R}}\)
D. \(\tan ^{-1}\left(\mathrm{V}_{\mathrm{R}}+\mathrm{V}_{m} / \mathrm{V}_{\mathrm{R}}-\mathrm{V}_{m}\right)\)
Answer:B
A person moving horizontally with velocity \(\overrightarrow{\mathrm{V}_{m}}\) . Rain falls vertically with velocity \(\overrightarrow{\mathrm{V}_{R}}\) To save himself from the rain, he should hold an umbrella with vertical at an angle of –
A. \(\tan ^{-1}\left(\frac{V_{R}}{V_{m}}\right)\) B. \(\tan ^{-1}\left(\frac{V_{m}}{V_{R}}\right)\) C. \(\tan \theta=\mathrm{V}_{m}+\mathrm{V}_{\mathrm{R}}\) D. \(\tan ^{-1}\left(\mathrm{V}_{\mathrm{R}}+\mathrm{V}_{m} / \mathrm{V}_{\mathrm{R}}-\mathrm{V}_{m}\right)\)