Since in this case velocity is a vector quantity, a
quantity which has magnitude and direction, therefore the mathematical
operations to use here would simply be similar in basic arithmetic.
First let us examine closely the given problem, it stated
that the bug is flying at a velocity of 0.25 m / s going east. Taking the east
direction as the positive coordinate, therefore the magnitude of the velocity
is:
v_bug = + 0.25 m / s
The breeze meanwhile is also blowing due east, therefore
the magnitude of the velocity is also:
v_breeze = + 0.25 m / s
To get for the resultant velocity, all we have to do is
to add the two velocities:
v_resultant = v_bug + v_breeze
v_resultant = 0.25 m/s + 0.25 m/s
v_resultant = 0.50 m/s