First slide

Projection Under uniform Acceleration

Question

Rain is falling vertically with a velocity of 25 ms^-1. A woman rides a bicycle with a speed of 10 ms^-1 in the north to south direction. What is the direction (angle with vertical) in which she should hold her umbrella to safe herself from rain?

Moderate

A

tan^-1(0.4)
B

tan^-1(1)
C

$\tan^{- 1} (\sqrt{3})$
D

$\tan^{- 1} (2.6)$

Solution

${Here, v}_{r} = 25 {ms}^{- 1}, v_{w} = 10 {ms}^{- 1} Velocity of rain w . r . t . woman Let v_{r / w} make an angle θ with vertical . tanθ = \frac{v_{w}}{v_{k}} = \frac{10}{2.5} = 0.4 She should hold her umbrella at an angle of θ = \tan^{- 1} (0.4) with the vertical towards south .$

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