Question

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?

Answer 1

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

Step-by-step 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