A velocity of magnitude 40m/s is directed at angle of 40° east of north. Draw a vector on paper to represent this velocity
To draw a vector on paper to represent this velocity, you first need to understand the angle and magnitude of the velocity. The magnitude of the velocity is given as 40 m/s, and the angle is stated as 40° east of north.
Follow the steps below to draw the vector:
1. Take a ruler and draw a horizontal line on your paper. This will represent the east-west axis. Label the left end as "West (W)" and the right end as "East (E)".
2. Place a protractor on your paper, aligning the straight edge with the direction of the east-west line. This will help you measure the angle.
3. Locate the center point of the horizontal line, and draw a vertical line upwards from that point. This vertical line will represent the north-south axis. Label the top end as "North (N)".
4. Measure 40° from the north-south line towards the east (right side) using the protractor. Place a dot at this point.
5. Measure a distance of 40 units (you can use any scale, for example, 1 cm = 5 m) from the dot you just made along the 40° angle. Draw an arrow starting from the origin (center point) of the horizontal and vertical lines. The arrow should connect to the measured distance.
6. Label the arrow with the magnitude of 40 m/s.
7. Finally, label the arrow with an appropriate notation to represent the direction. In this case, you can write "40 m/s, 40°E of N".
By following these steps, you will have drawn a vector on paper representing the given velocity.