A car travels with a speed of 40   km   h - 1 . Rain drops are falling at a constant speed…

A car travels with a speed of 40 km h-1. Rain drops are falling at a constant speed vertically. The traces of the rain on the side windows of the car make an angle of 30° with the vertical. The magnitude of the velocity of the rain with respect to the car is
  1. 403 km h-1
  2. 403 km h-1
  3. 80 km h-1
  4. 803 km h-1

Solution

Here the car moves with speed vCE=40 km h-1 and raindrops are falling at a constant speed vertically with respect to the Earth as shown in the figure below.

 

Now, velocity of car relative to the rain is calculated using the relation, vRC=vCEsinθ=40sin30°=400.5=80 km h-1.

Asked in: AP EAMCET 2022 (04 Jul Shift 1)

Practice more Motion In Two Dimensions questions on Aicharya