1. Tardigrade
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  3. Physics
  4. Rain is falling vertically with a speed of 12 ms-1. A woman rides a bicycles with a speed of 12 ms-1 in east to west direction. What is the direction in which she should hold her umbrella?

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Q. Rain is falling vertically with a speed of $12 \,ms^{-1}$. A woman rides a bicycles with a speed of $12 \,ms^{-1}$ in east to west direction. What is the direction in which she should hold her umbrella?

KCETKCET 2020Motion in a Plane

Solution:

To protect herself from the rain, the woman must hold her umbrella in the direction of the relative velocity of the rain with respect to the woman.
$\tan\, \theta= v _{ w } / v _{ f }=12\, m / s$
or, $\tan \,\theta=1$
or, $\theta=45^{\circ}$
Therefore, the direction in which she should hold her umbrella is $45^{\circ}$ toward west.