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?

Step-by-step solution

The given situation is shown below Here, velocity of rain, v_ r =12 ~ms ⁻¹ and velocity of woman, v_ w =12 ~ms ⁻¹ The relative velocity of rain w.r.t. woman is aligned v_ r w &= v_ w ²+v_ r ² &= (12)²+(12)² =12 2 ~ms ⁻¹ aligned The direction in which the woman should hold her umbrella is aligned &= v_ w v_ r w = 12 12 2 &= ⁻¹ ( 1 2 )=45^ , towards east aligned