Question

Rain is falling vertically with a speed of 28 m/s .A cyclist is going at a speed of 10 m/s in the north to south direction . What is the apparent speed and direction of the rain ?​

Answer 1

Answer:

The described situation is shown in the given figure.

Here,

vc = Velocity of the cyclist

vr = Velocity of falling rain

In order to protect herself from the rain, the woman must hold her umbrella in the direction of the relative velocity (v) of the rain with respect to the woman.

v = vr + (-vc)

= 30 + (-10) = 20 m/s

tan θ = vc / vr = 10 / 30

θ = tan-1 (1 / 3)

= tan-1 (0.333) ≈ 180

Hence, the woman must hold the umbrella toward the south, at an angle of nearly 18° with the vertical.

Answer 2

Explanation:

the women must hold the umbrella towards the south at an angle of 80 degree with the vertical