Vectors on the Basketball Court
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Vectors on the Basketball Court
Route Number:______
Trial 1 Trial 2: Start: ______Start: ______1. ______1. ______2. ______2. ______3. ______3. ______4. ______4. ______5. ______5. ______6. ______6. ______
As you follow your Route Directions, draw each step to scale on the map provided. (1 box = 1 m) Final Destination Questions: 1. What was the total distance you traveled to reach your final destination?
2. Draw a single, straight-line route from your starting point to ending point on the map (this is called the resultant vector).
3. Follow the resultant route between your starting and ending points. Using a meter stick, what is the resultant route length?
4. Calculate the x and y components of the directions that were at an angle.
Labeled sketch of vector X component Y component (include magnitude & direction) (include direction) (include direction)
5. Combine your group’s East and West directions to find your group’s overall horizontal displacement. (Show your addition/subtraction; don’t just count the boxes on the map)
6. Combine your North & South directions to find your group’s overall vertical displacement. (Show your addition/subtraction; don’t just count the boxes on the map)
7. Use your answers to 5 & 6 and your knowledge of geometry to calculate your total displacement. How does this compare to your measurement from question 3?
8. Place the directions back into the envelope and follow them in a different order. Where did you end this time?
9. What does your answer to question 8 imply about the order in which vectors are added?
10. Why is it mathematically important to compute the horizontal and vertical components for displacements that are at an angle when trying to calculate the total resultant route? ROUTE A - Start: Southwest Corner
13 m due East
7 m Northwest
13 m North
5 m 37 o East of South
3.5 m West
1.5 m South
ROUTE A - Start: Southwest Corner
13 m due East
7 m Northwest
13 m North 5 m 37 o East of South
3.5 m West
1.5 m South
ROUTE B - Start: Middle of Northern Free- throw Line
5 m 37 o North of East
8 m West
5 m South
5.7 m Southeast
2 m North
2 m East ROUTE B - Start: Middle of Northern Free- throw Line
5 m 37 o North of East
8 m West
5 m South
5.7 m Southeast
2 m North
2 m East
ROUTE C - Start: Due East of Half-court
Line
13 m West
7 m Northeast 3 m South
6.7 m 26 o West of South
3.5 m East
4 m North
ROUTE C - Start: Due East of Half-court
Line
13 m West
7 m Northeast
3 m South
6.7 m 26 o West of South
3.5 m East
4 m North ROUTE D - Start: Center at Half-court
8 m East
7 m Northwest
7 m North
5 m 53 o South of East
6 m West
8 m South
ROUTE D - Start: Center at Half-court
8 m East
7 m Northwest
7 m North
5 m 53 o South of East 6 m West
8 m South
ROUTE E - Start: Directly below the
South Hoop
7 m East
7 m Northwest
11.5 m North
5 m 53 o South of East
3 m West
2 m West
ROUTE E - Start: Directly below the
South Hoop 7 m East
7 m Northwest
11.5 m North
5 m 53 o South of East
3 m West
2 m West
ROUTE F - Start: Northwest Corner
13 m East
7 N Southwest
9 m South
5 m 37 o East of North
3.5 m West 2.5 m South
ROUTE F - Start: Northwest Corner
13 m East
7 N Southwest
9 m South
5 m 37 o East of North
3.5 m West
2.5 m South