A class adds the same two velocities: 4 m/s east and 3 m/s north. The drawings that come back disagree.
Which drawings are drawn correctly, and what exactly is wrong with the others?
Tip-to-tail addition has two checks: the second arrow's tail sits at the first arrow's tip, and the resultant runs from the first arrow's tail to the second arrow's tip.
Here is the first drawing. The second arrow's tail sits at the first arrow's tip, and the resultant runs from the first arrow's tail to the second arrow's tip. This diagram is drawn correctly.
Here is the second drawing, the same two arrows. But the second arrow's tail now sits at the first arrow's tail. This diagram is not drawn correctly, because the second arrow starts at the first arrow's tail instead of its tip.
Here is the third drawing. It fixes the start: the arrows sit tip-to-tail again, and the resultant runs from the first arrow's tail to the second arrow's tip. This diagram is drawn correctly.
Here is the fourth drawing, the same arrows again. But the resultant now runs from the second arrow's tip back to the first arrow's tail. This diagram is not drawn correctly, because the resultant is drawn backwards.
Here is the fifth drawing. The arrows sit tip-to-tail and the resultant runs the right way. But the 3 m/s arrow is drawn longer than the 4 m/s arrow. This diagram is not drawn correctly, because the arrow lengths do not match the magnitudes: the bigger magnitude must get the longer arrow.
Jonas adds 6 m east and 2 m north. In his drawing, the north arrow's tail sits at the east arrow's tail, and his resultant runs from that shared point to the north arrow's tip. Judge the diagram.
Check where the second arrow starts:
tip-to-tail needs the second arrow's tail at the first arrow's tip
In Jonas's drawing, the north arrow's tail sits at the east arrow's tail.
That one failure settles the judgement.
The diagram is not drawn correctly: the second arrow starts at the first arrow's tail instead of its tip.
Rina adds 5 m/s east and 2 m/s north in the diagram. Which statement describes the diagram?
Jonas adds 4 m/s west and 6 m/s north in the diagram. Which statement describes the diagram?
Alba adds 8 m east and 6 m north in the diagram. Which statement describes the diagram?
A student adds 12 m south and 9 m west in the diagram. Which statement describes the diagram?
A student adds 10 m/s east and 4 m/s south in the diagram. Which statement describes the diagram?
A student adds 9 m/s east and 3 m/s north in the diagram. Which statement describes the diagram?