A car is moving along a straight horizontal road at 82 km/h and rain is falling vertically downwards at 25 km/h. Find the velocity of the rain relative to the driver of the car.
Relative to driver?
Falling at 25km/h, horizontal at 82km/hr
Velocity= 25km/hr DOWN+82KM/hr TowardBack
so add these as vectors.
To find the velocity of the rain relative to the driver of the car, we can use vector addition.
Let's assume that the positive direction is the direction in which the car is moving. The velocity of the car is given as 82 km/h, and the velocity of the rain is given as 25 km/h (assuming it falls vertically downwards).
Now, the relative velocity of the rain with respect to the car can be found by subtracting the velocity of the car from the velocity of the rain.
Relative velocity = Velocity of the rain - Velocity of the car
Since the velocity of the rain is downwards and the velocity of the car is in the positive direction, we can represent the velocity of the rain as (-25 km/h) and the velocity of the car as (+82 km/h).
Relative velocity = (-25 km/h) - (+82 km/h)
= -25 km/h - 82 km/h
= -107 km/h
So, the velocity of the rain relative to the driver of the car is 107 km/h in the opposite direction of the car's motion.