Question

A balloon is floating freely at a rate of 0.87 m/s due south. A southerly breeze (coming from the south) blows against the balloon with a velocity of 0.32 m/s. What is the velocity of the balloon and the direction it is traveling? Ans- Velocity=

Direction =

Answer 1

Velocity = 1.32

Direction = South

Answer 2

Velocity = 0.55 m/s

Direction = South

Step-by-step explanation:

Given

let us take the south as positive direction

Velocity of the balloon
`v_(b)` = + 0.87 m/s

Velocity of wind
`v_(w)` = - 0.32 m/s

Solution

Resultant velocity

`v = v_(b) + v_(w) \\\\v = 0.87+(-0.32)\\\\v = 0.55 m/s`

since the resultant velocity is positive, balloon is directed southward