sign in sign up
<<
Home , Adventureland (Disney), Fantasyland, Skyway (Disney)

Vector Labs! San Diego , World, and Wissahickon High School 1

Scalars

Numbers with magnitude and units only.

today’s temperature is 84 °F

the car was driving for 4.3 s

the water has a mass of 1.25 kg

2

Vectors

Numbers with magnitude and direction

Scalar numbers have magnitude only

Notation: Ā = 25m, at 174°

Don’t use @ (this is NOT email)

3

Vectors can cause strange results take 10 steps East and 4 steps West

“What is the total distance that you have travelled?” 14 steps

“What is your displacement from where you started?” 6 steps East

4

Two Directions Change the Math Add: 300m, North and 400m, East

400

500 300 500 500

5 What Direction? 90°

70° 150°

180° 0° Positive values only

NOT the angle 295° from a previous measurement 270° 6

What Direction? North

20° E70° of N

West East

Change map directions to angles first N 70° South 7

Why in the world, is my car in San Diego?

1 cm = 200 miles 8

Equilibrant and Resultant

The Equilibrant vector would balance the vectors in one step. An equilibrant vector goes from the finish to the start. E = miles, at °

The Resultant vector is the total of all vectors in one step. A displacement vector goes from the start to the finish. R = miles, at ° 9

FANTASTIC FOOD & FAST SNACK SITES

Healthier Choice — The “apple” symbol signifies the availability of low- C Liberty Tree Tavern — A la carte lunches include entrees, sal- G El Pirata Y el Perico Restaurante — Tacos, nachos, taco salads, L Cosmic Ray’s Starlight Cafe — Cheese- R Sunshine Tree Terrace — Citrus specialties, non-fat W Enchanted Grove — Lemonade slushes, strawberry swirl, juice. fat, low-cholesterol food choices. For special dietary needs, please ask for ads and sandwiches. Serving lunch and dinner. ● Hosted by Stouffer’s hot dogs. burgers (including vegetarian), rotisserie chicken, soups, sandwiches, yogurt, cappuccino, espresso and Hosted by Minute Maid assistance at Guest Relations. D Cinderella’s Royal Table — Hearty and lighter fare fit for H Pecos Bill Cafe — Cheeseburger and hot dog baskets, and salads. Hosted by Coca-Cola beverages. X Mrs. Potts’ Cupboard — Soft-serve ice cream, floats, sundaes, royalty. Serving lunch and dinner. ● wrapped sandwiches, salads, root beer floats, and beverages. The best M The Plaza Pavilion — Pizza, deli sandwich, salad, fried S Kiosk — French fries and beverages. Hosted by shakes. food in the West! E The Crystal Palace, A Buffet with Character — All-you-can- chicken basket. McDonald’s. Y Auntie Gravity’s Galactic Goodies — Soft-serve ice cream, I Aunt Polly’s Dockside Inn — Ham & cheese sandwich “pic- TABLE SERVICE eat buffet with character visits. Serving breakfast, lunch and dinner. N Casey’s Corner — Hot dogs, fries and beverages. Hosted by Coca-Cola T Sleepy Hollow — Caramel corn prepared before your eyes, sea- smoothies, fruit juices. Priority seating suggested. nic” lunches, freshly baked apple pie, soft-serve ice cream. ● Hosted by Colombian Coffee Growers sonal fresh fruit cobblers, freshly prepared baked goods, cappuccino, Z The Lunching Pad at Rockettower Plaza — Snacks, smoked A Tony’s Town Square Restaurant — Salads, pastas, paninos, J Columbia Harbour House — Hearty sandwiches, salad, clam espresso, iced cappuccino, and beverages. turkey legs, beverages. and specialty entrees served with an Italian flair. Serving breakfast, chowder, fish and chicken baskets. FAST SNACKS U Scuttle’s Landing — Shaved ice, beverages. AA Cool Ship — Beverages. Hosted by Coca-Cola lunch and dinner. ● Presented by Buitoni COUNTER SERVICE K The Pinocchio Village Haus — Cheeseburgers, hot dogs, spe- O Main Street Bake Shop — Cookies, pastries, cakes and con- V Toontown Market — Fresh fruit, snacks and BB Hook’s Tavern — Snacks, beverages. B The Plaza Restaurant — Deli sandwiches, burgers and sun- F “The Diamond Horseshoe Saloon Revue” — Continental breakfast cialty wrap sandwiches and salads. fections. Hosted by Nestlé Toll House P beverages. CC daes. Lunch/dinner. ● Hosted by Hills Bros. items, sandwiches, salads, hand-scooped ice cream, snacks, beverages. Plaza Ice Cream Parlor — Hosted by Nestlé Ice Cream Caffè Italiano— Coffee, breakfast pastries. Where in DisneyQ Aloha Isle — Famous Dole Whips. Hosted by Dole World Hostedwill by Hills Bros. you go?

LIBERTY SQUARE 19 Liberty Belle Riverboat 24 27 Legend of 30 Castle Forecourt Stage MICKEY’S TOONTOWN FAIR (presented by Kodak) ATTRACTIONS 20 Mike Fink Keelboats ATTRACTIONS 25 The Many Adventures of 31 Fantasyland Character Festival ATTRACTIONS 28 to 2121 29 16 “The Diamond Horseshoe Saloon Revue” SHOPPING Cinderella’s Golden Carrousel Winnie the Pooh (open 10:30am to 7pm) SHOPPING 32 Donald’s Boat 26 17 • Ye Olde Christmas Shoppe 2222 The Flying Elephant ’s Flight 29 ’s Scary Adventures • ’s Treasures 33 Mickey’s Country House27 (opens at 10am; continuous shows on the hour and half-hour) • The Yankee Trader 2323 “it’s a small world” (opens 9am; closing time varies• Sirwith Mickey’s Park hours and34 Minnie’s fireworks) Country House 18 (presented by The J.M. Smucker Company) 35 Toontown Hall Of Fame Meet Mickey Mouse (Character Greeting location) FRONTIERLAND inside the Judge’s 36 at Goofy’s Wiseacre Farm G ATTRACTIONS Tent daily! 35 Roller coaster (minimum age 3 years -presented by Friskies) 10 37 Big Thunder Mountain Railroad (minimum height 40”) 33 ® Railroad 11 37 (opens 9am; closing time varies with park hours and fireworks) U 31 12 Frontierland Shootin’ Arcade Fantasyland 32 SHOPPING D 13 • County Bounty (minimum height 40”) V 14 28 34 Mickey’s Raft to (closes at 5pm) 23 K ATM 15 Walt Disney World® Railroad 22 Toontown Fair TOMORROWLAND (opens 9am; closing time varies with Park hours and fireworks) 36 4 18 21 ATTRACTIONS 26 24 38 SHOPPING J BB X 20 39 The ExtraTERRORestrial Alien Encounter 27 29 25 19 Liberty Square (minimum height 44”) 10 I W ATTRACTIONS 15 14 40 Tomorrowland Speedway 28 D 13 (minimum height 52” - presented by Goodyear) 5 6 6 Frontierland 17 ATM41 T L 40 41 7 (minimum height 44” - presented by FedEx) 8 ”The Enchanted Tiki Room Under 42 S ATM 41 New Management” 30 15 C 43 Buzz Lightyear’s Space Ranger Spin 5 9 Shrunken Ned’s Junior Jungle F Y 11 16 44 Walt Disney’s Carousel Of Progress Boats (remote-controlled boats) H 12 46 ATM (open 11am to 5pm) e? AA SHOPPING 39 45 Skyway to Fantasyland 13 45 • House of Treasure R Q (open 10:30am to 7pm) G 46 MAIN STREET, U.S.A. 8 38 Tomorrowland Arcade 30 42 47 Tomorrowland Transit Authority 1 City Hall 7 Z 49 18 2 48 Galaxy Palace Theater Adventureland 2 Guest Information Board 9 Tomorrowland 47 6 49 Tomorrowland Stage ATTRACTIONS 5 E M 43 3 Main Street Vehicles SHOPPING N (presented by National Car Rental®) Adventureland P • Mickey’s Star Traders (presented by Coppertone) 4 Walt Disney World® Railroad B 48 44 J (opens 9am; closing time varies with park hours and fireworks) SHOPPING O 20 • Emporium • Disney Clothiers Main Street, U.S.A. • Main Street Gallery • • Town Square Exposition Hall/Camera Center (presented by Kodak) CHARACTER DINING e? LibertyS Square MAIN STREET, U.S.A. LIBERTY SQUARE LEGEND The Crystal Palace, A Buffet with Liberty Tree Tavern • • • Parade Route Must transfer from ECV to wheelchair Hospitality Desk A 1 CC Character A “revolutionary” way to dine with your Rest Rooms (All accessible) Reflective Captioning system available. Disney Character Greeting Locations 3 Enjoy a bountiful buffet with Winnie the Pooh favorite Disney patriots for dinner beginning at Contact a host or hostess at the attraction. International Welcome ▲ First Aid/Baby Services e Disney Vacation Club Information and his friends from the Hundred Acre Wood. 4pm! Priority seating not always necessary. ? Center located Assistive-listening devices which amplify Breakfast, lunch and dinner served. Priority Stop by and check for availability! Telephones - Touch *88 for toll-free Disney hotel Disney’s FASTPASSsm the audio may be used at this location in City Hall. seating not always necessary. Stop by and reservations and WDW-DINE For more information on priority seat- and are available at Guest Relations Boarding Information check for availability! ing, stop by any table-service restau- Pay phone equipped with TTY Please observe the following warnings Guest-activated captioning available on rant or City Hall, or touch *88 from a at designated attractions: ATM Phone cards for international calls available for selected video monitors in this attraction. 4 FANTASYLAND public telephone for toll-free access to WDW-DINE. purchase Please visit Guest Relations to obtain an For safety and comfort, you should be Cinderella’s Royal Table activator. Kodak “Photo Spot” for prime picture-taking in good health and free from heart, Step into a storybook for a breakfast fit for roy- location back or neck problems, motion sickness, ATM Automatic Teller Machine or other conditions that could be alty with friends from Disney’s animated clas- ▲ presented by SunTrust, N. A. aggravated by this adventure.Expectant MONORAIL sics. Priority seating strongly suggested. Guest Relations STATION ▲ DISNEY RESORT Disney Photo Express Service - film drop-off mothers should not ride. Young children Parade Viewing Area should be accompanied by an adult. BUS FACILITY May remain in wheelchair or ECV Disney Photo Express Service - all photo pickup Persons who do not meet the minimum Must transfer from wheelchair height requirement may not ride Mail Drop Parents with young children may take Attraction may be too intense for very young turns experiening the ride. SMOKING For the comfort of all our Guests, smoking is prohibited children Stroller/Wheelchair Rentals in all waiting areas, attractions, stores, dining areas, rest rooms and Must be ambulatory to experience this attraction Locker Rentals ● Check Guidemap when you arrive in the s ©Disney NAC30556 Park for times. ▼ BOAT LAUNCH ▼ FERRYBOAT LANDING locations designated for parade and show viewing. Thank you.

10 Step 4: Measure, Name, and Label Each Vector

(opens at 10am; continuous shows on the hour and half-hour) • The Yankee Trader 2323 “it’s a small world” • Sir Mickey’s 34 Minnie’s Country House (presented by The J.M. Smucker Company) 35 Toontown Hall Of Fame Meet Mickey Mouse (Character Greeting location) inside the Judge’s 36 Tent daily! The Barnstormer at Goofy’s Wiseacre Farm 35 Roller coaster (minimum age 3 years -presented by Friskies) 37 (minimum height 40”) 33 Walt Disney World® 37 (opens 9am; closing time varies with park hours and fireworks) U A = 26.0cm, at 142° Fantasyland 31 32 SHOPPING (minimum height 40”) • County Bounty 28 34 V Mickey’s (closes at 5pm) 23 K 22 Toontown Fair (opens 9am; closing time varies with Park hours and fireworks) 18 21 36 26 24 20 J BB X 27 29 25 19 Liberty Square 10C I W 15 14 13 D D B = 10.8cm, at 113° Frontierland 17 T L 40

S ATM 41 C 30 F 11 16 Y H 12 46 e? ATM E AA 39 R Q 45 BG C = 10.5cm, at 23° 8 42 38 7 Z 49 9 2 Tomorrowland 6 47 5 E M 43 Adventureland N P (opens 9am; closing time varies with park hours and fireworks) B 48 44 O F Main Street, U.S.A. D = 16.1cm, at 325°

Town Square Exposition Hall/Camera Center (presented by Kodak) e? CHARACTER DINING LEGEND MAIN STREET, U.S.A. A The Crystal Palace, A Buffet with Must transfer from ECV to wheelchair Hospitality Desk A Character 1 CC Reflective Captioning system available. Disney Character Greeting Locations 3 Enjoy a bountiful buffet with Winnie the Pooh Contact a host or hostess at the attraction. International Welcome ▲ e Disney Vacation Club Information and his friends from the Hundred Acre Wood. ? Center located Assistive-listening devices which amplify Breakfast, lunch and dinner served. Priority Disney’s FASTPASSsm the audio may be used at this location in City Hall. seating not always necessary. Stop by and and are available at Guest Relations Boarding Information check for availability! E = 25.4cm, at 3° Please observe the following warnings Guest-activated captioning available on at designated attractions: ATM selected video monitors in this attraction. 4 FANTASYLAND Please visit Guest Relations to obtain an For safety and comfort, you should be Cinderella’s Royal Table activator. in good health and free from heart, Step into a storybook for a breakfast fit for roy- back or neck problems, motion sickness, ATM Automatic Teller Machine or other conditions that could be alty with friends from Disney’s animated clas- presented by SunTrust, N. A. aggravated by this adventure.Expectant MONORAIL sics. Priority seating strongly suggested. STATION ▲ DISNEY RESORT Disney Photo Express Service - film drop-off mothers should not ride. Young children should be accompanied by an adult. BUS FACILITY Disney Photo Express Service - all photo pickup Persons who do not meet the minimum height requirement may not ride Mail Drop Parents with young children may take turns experiening the ride. SMOKING For the comfort of all our Guests, smoking is prohibited Stroller/Wheelchair Rentals s F = 32.5cm, at 223°

11

Graphical Addition

Called the “Head to Tail” method One Vector starts where the previous vector stops Vector Sum is from the tail of the first to the head of the last

12

Component Method: Find the X and Y components

Ā = 40.0 cm, at 70°

Āx = 40.0 cos 70°

just as far up Āy = 40.0 sin 70° 70°

just as far to the right N 13

Component Method: Find the Resultant

Rx = 22.0cm Pythagorean to find Magnitude

Trig to find Direction

Careful with the angle Ry = -12.5cm N 14

We did this one before..

400 R = √(3002 + 4002)

300 R = 500 m

θ = Tan-1 (300/400) 500 θ = 37° 15 What about your school?

16

Put the measurements together. Find Rx and Ry and R (distance and direction).

17