a velocity of magnitude 40m/s is directed at an angel of 40 degree east of north.draw a vector on paper to represent this velocity

To draw a vector representing a velocity of magnitude 40 m/s at an angle of 40 degrees east of north, you can follow these steps:

1. Take a blank sheet of paper and choose a suitable scale for the length of the vector. For example, you can assign 1 cm on paper to represent 10 m/s.

2. Start by drawing a line segment representing the north direction. This can be a vertical line from the bottom to the top of the paper.

3. At the top end of the north line, draw an arrowhead pointing towards the east direction. This will represent the east direction.

4. Starting from the bottom end of the north line, measure 4 cm (since 40 m/s ≈ 4 cm on your chosen scale) along the north line and mark this point.

5. From the marked point, draw a line segment at an angle of 40 degrees towards the east direction. The length of this line segment will correspond to the magnitude of the velocity (40 m/s on your chosen scale).

6. Lastly, draw an arrowhead at the end of the line segment to indicate the direction of the velocity.

Now, you will have a vector on the paper that represents a velocity of magnitude 40 m/s at an angle of 40 degrees east of north.