> 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? – LIVE ANSWER TODAY

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?

In This post you will get answer of 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?

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.

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