<p> Vectors on the Basketball Court</p><p>Route Number:______</p><p>Trial 1 Trial 2: Start: ______Start: ______1. ______1. ______2. ______2. ______3. ______3. ______4. ______4. ______5. ______5. ______6. ______6. ______</p><p>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?</p><p>2. Draw a single, straight-line route from your starting point to ending point on the map (this is called the resultant vector).</p><p>3. Follow the resultant route between your starting and ending points. Using a meter stick, what is the resultant route length?</p><p>4. Calculate the x and y components of the directions that were at an angle.</p><p>Labeled sketch of vector X component Y component (include magnitude & direction) (include direction) (include direction)</p><p>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)</p><p>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)</p><p>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?</p><p>8. Place the directions back into the envelope and follow them in a different order. Where did you end this time?</p><p>9. What does your answer to question 8 imply about the order in which vectors are added?</p><p>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</p><p>13 m due East</p><p>7 m Northwest</p><p>13 m North</p><p>5 m 37 o East of South</p><p>3.5 m West</p><p>1.5 m South</p><p>ROUTE A - Start: Southwest Corner</p><p>13 m due East</p><p>7 m Northwest</p><p>13 m North 5 m 37 o East of South</p><p>3.5 m West</p><p>1.5 m South</p><p>ROUTE B - Start: Middle of Northern Free- throw Line</p><p>5 m 37 o North of East</p><p>8 m West</p><p>5 m South</p><p>5.7 m Southeast</p><p>2 m North</p><p>2 m East ROUTE B - Start: Middle of Northern Free- throw Line</p><p>5 m 37 o North of East</p><p>8 m West</p><p>5 m South</p><p>5.7 m Southeast</p><p>2 m North</p><p>2 m East</p><p>ROUTE C - Start: Due East of Half-court </p><p>Line</p><p>13 m West</p><p>7 m Northeast 3 m South</p><p>6.7 m 26 o West of South</p><p>3.5 m East</p><p>4 m North</p><p>ROUTE C - Start: Due East of Half-court </p><p>Line</p><p>13 m West</p><p>7 m Northeast</p><p>3 m South</p><p>6.7 m 26 o West of South</p><p>3.5 m East</p><p>4 m North ROUTE D - Start: Center at Half-court</p><p>8 m East</p><p>7 m Northwest</p><p>7 m North</p><p>5 m 53 o South of East</p><p>6 m West</p><p>8 m South</p><p>ROUTE D - Start: Center at Half-court</p><p>8 m East</p><p>7 m Northwest</p><p>7 m North</p><p>5 m 53 o South of East 6 m West</p><p>8 m South</p><p>ROUTE E - Start: Directly below the </p><p>South Hoop</p><p>7 m East</p><p>7 m Northwest</p><p>11.5 m North</p><p>5 m 53 o South of East</p><p>3 m West</p><p>2 m West</p><p>ROUTE E - Start: Directly below the </p><p>South Hoop 7 m East</p><p>7 m Northwest</p><p>11.5 m North</p><p>5 m 53 o South of East</p><p>3 m West</p><p>2 m West</p><p>ROUTE F - Start: Northwest Corner</p><p>13 m East</p><p>7 N Southwest</p><p>9 m South</p><p>5 m 37 o East of North</p><p>3.5 m West 2.5 m South</p><p>ROUTE F - Start: Northwest Corner</p><p>13 m East</p><p>7 N Southwest</p><p>9 m South</p><p>5 m 37 o East of North</p><p>3.5 m West</p><p>2.5 m South</p>