Question

On a day when the wind is blowing toward the south at 4 m/s, a runner jogs east at 5 m/s. What is the velocity (speed and direction) of the air relative to the runner

Answer 1

`v=5m/s`

Direction:SW(south-west)

Step-by-step explanation:

From the question we are told that

Velocity and direction of Runner
`V_r= 5m/s ,East`

Velocity and direction of Air
`V_a= 4m/s ,South`

Generally the the resultant velocity v is mathematically given as

`v=√(V_a^2+V_r^2)`

`v=√(4^2+5^2)`

`v=5m/s`

The resultant velocity is towards the south-west