For the winter, a duck flies 10.0 m/s due south against a gust of wind with a velocity of 2.5 m/s. What is the resultant velocity of the duck? a. 12.5 m/s south
b. 12.5 m/s north
c. 7.5 m/s south
d. 7.5 m/s north
e. 10.3 m/s south

c. 7.5 m/s south

Explanation:

Given the following data;

Velocity of duck = 10m/s due South

Velocity of wind = 2.5m/s

To find the resultant velocity;

Since we know that the duck is flying against a gust of wind, we would have to subtract the velocity of the gust of wind from that of the duck.

This ultimately implies that, the gust of wind (headwind) would decrease the resulting velocity of the duck because it approaches the duck from the front.

Resultant velocity, /V/ = 10 - 2.5

Resultant velocity, /V/ = 7.5m/s South.

Therefore, the resultant velocity of the duck is 7.5m/s south.

if they have a finite resultant