To a stationary, a bus moves south with a speed of 15 m/s. a man inside walks toward the front of the bus with a speed of 0.2 m/s relative to the bus. what is the velocity of the man according to a stationary observer?

Velocity of man with respect to stationary observer is 15.2 m/s

Explanation:

It is given that, to a stationary, a bus moves south with a speed of 15 m/s. A man inside walks toward the front of the bus with a speed of 0.2 m/s relative to the bus. We have to find the velocity of man according to stationary observer.

The velocity of bus and man are in same direction. So, the velocity of man with respect to stationary observer will be :

Hence, this is the required solution.                 

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west