Question

A passenger on a stopped bus notices that rain is falling vertically just outside the window. When the bus moves with constant velocity, the passenger observes that the falling raindrops are now making an angle of 18 ∘ with respect to the vertical.1. What is the ratio of the speed of the raindrops to the speed of the bus?2. Find the speed of the raindrops, given that the bus is moving with a speed of 19 {m/s}.

Answer 1

Answer:

1)0.325

2)$6.17\ \rm m/s$

Explanation:

Given:

The angle that falling raindrops make with the vertical=$18^\circ$

Let $V_R$ be the velocity of the raindrops and $V_B$ be the velocity of the bus.

1)

$\dfrac{V_R}{V_B}=\tan 18^\circ\\\dfrac{V_R}{V_B}=0.315$

2)Speed of the raindrops$=0.315\times 19$

$=6.17\ \rm m/s$