With what relative speed do two cars move away from each other,

With what relative speed do two cars move away from each other, driving away from the intersection along mutually perpendicular roads at speeds of 50 km / h and 60 km / h?

Given:

v1 = 50 km / h – the speed of the first car;

v2 = 60 km / h – speed of the second car;

a = 90 degrees – the angle between the directions of vehicle speeds.

It is required to find the relative vehicle speed v (km / h).

Since the angle between the speeds is 90 degrees, the sum of the vectors of the car speeds will be the hypotenuse of a right-angled triangle. Then, by the Pythagorean theorem:

v = (v1 ^ 2 + v2 ^ 2) ^ 0.5 = (50 ^ 2 + 60 ^ 2) ^ 0.5 = (2500 + 3600) ^ 0.5 = 6100 ^ 0.5 = 78.1 km / h

Answer: cars move away from each other at a speed of 78.1 km / h.