Question

A car is moving on a road with a constant speed 10 m/s. The raindrops are falling with the velocity of 5 m/s at an angle 37 degree with the direction of motion of car. Find the magnitude of velocity of raindrops with respect tocar

Answer 1

Answer:

The magnitude of velocity of the raindrop is 13.3m/s

Explanation:

In this case the frame of reference is the car therefore we have to calculate the velocity of the rain with respect to the car. It is mentioned in the question that the raindrop makes an angle of 530 with the horizontal. In this case the horizontal is the velocity of the car.  

Therefore using trigonometry, the vertical hence the raindrop will be adjacent to the angle. The horizontal i.e. the velocity of the vehicle will be the opposite. The answer is worked out as thus  

$\tan 53^{\circ}=\frac{\text {velocity of the vehicle}}{\text {velocity of the raindrop}}$