visually show on compass/vector graph n 60 degrees w at 400 mph, n 40 e at 75 mph
To visually represent the given information on a compass/vector graph, follow these steps:
Step 1: Draw a compass graph
- Draw a compass rose with all the cardinal directions (north, south, east, west).
- Label the four cardinal directions: N (north), S (south), E (east), and W (west).
Step 2: Plot the first vector
- In the northern direction (N), draw a line segment that extends upward from the center of the compass rose.
- Label the line segment with the magnitude of the velocity for the first given vector: 400 mph.
Step 3: Measure the angle
- Starting from the northern vector (N), measure an angle of 60 degrees towards the west (W).
- Draw an arc with a radius from the end point of the N vector to represent this angle and direction.
Step 4: Plot the second vector
- From the end point of the previous vector, draw a new line segment in the direction of 40 degrees towards the east (E).
- Label this line segment with the magnitude of the velocity for the second given vector: 75 mph.
Step 5: Connect the endpoints
- Draw a line segment connecting the starting point (origin) with the end point of the second vector.
Step 6: Label the graph
- Label the first vector as "N 60° W, 400 mph."
- Label the second vector as "N 40° E, 75 mph."
Your compass/vector graph should now visually represent the given information regarding the directions and magnitudes of each velocity.