A farmer is walking through a field at a velocity of +0.5 meters per second (m/s)
relative to the ground. At the same time, he
is throwing seeds in front of him at a
velocity of +2.1 m/s relative to himself.
What is the velocity of the seeds relative to
the ground as they travel through the air?

The velocity of the seeds relative to the ground as they travel through the air is V = +2.6 m/s

Explanation:

Let V be the velocity of the seeds relative to the ground, v be the velocity of the seeds relative to the farmer and v' be the velocity of the farmer relative to the ground.

By vector addition, V = v + v'

Since  v = the velocity of the seeds relative to the farmer = +2.1 m/s and

v' = the velocity of the farmer relative to the ground = +0.5 m/s

Then,

V = v + v'

V = +2.1 m/s + (+0.5 m/s)

V = +2.6 m/s

So, the velocity of the seeds relative to the ground as they travel through the air is V = +2.6 m/s

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