Question

A car runs along a horizontal path at speed of 20m/s.The driver observes the rain hitting his car at 60 to vertical.If rain is actually falling vertically then what is speed of rain drop

Answer 1

Answer:

The speed of the raindrop is 11.55 m/s.

Explanation:

We need to find the speed of the rain in the "y" direction. We have:

$v_{r}$: speed of the raindrop at 60° (vertical) =?

$v_{c}$: speed of the car = 20 m/s (in the "x" direction)

Hence, the speed of the car and the speed of the raindrop are related by:

$tan(\theta) = \frac{v_{c}}{v_{r}}$        

$v_{r} = \frac{v_{c}}{tan(60)} = \frac{20}{tan(60)} = 11.55 m/s$

Therefore, the speed of the raindrop is 11.55 m/s.

I hope it helps you!