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

Question

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, 40 3 km h - 1, 40 3 km h - 1, 80 km h - 1, 80 3 km h - 1

MARKS App · Accepted Answer

Here the car moves with speed v C E = 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, v R C = v C E sin θ = 40 sin 30 ° = 40 0 . 5 = 80 km h - 1 .

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