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8.5 Motion Problems

8.5 Motion Problems. d istance = ( r ate)( t ime). Victor drives 60 miles per hour for 3 hours. How far did he drive?. Elise drives 200 miles in 4 hours. How fast did she drive?. Destiny drives 50 miles per hour and travels 300 miles. How many hours did she drive?. Patterns.

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8.5 Motion Problems

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  1. 8.5 Motion Problems

  2. distance = (rate)(time) Victor drives 60 miles per hour for 3 hours. How far did he drive? Elise drives 200 miles in 4 hours. How fast did she drive? Destiny drives 50 miles per hour and travels 300 miles. How many hours did she drive?

  3. Patterns • Same direction: subtract • Opposite directions: add • Overtake: set distances equal to each other

  4. Fred Celia Fred leaves the school on his bicycle and travels west at 14 km/h. Celia leaves and walks east at 6 km/h. How many hours does it take for Fred and Celia to be 70 km apart?

  5. Fred Celia Fred leaves the school on his bicycle and travels west at 15 km/h. Celia leaves and jogs east at 9 km/h. How many hours does it take for Fred and Celia to be 96 km apart?

  6. Fred Celia Fred leaves the school on his bicycle and travels east at 17 km/h. Celia goes in the same direction at 9 km/h. In how many hours will they be 96 km apart? 96

  7. Jake 68 Lisa Jake leaves the school on his Vespa and travels east at 23 mph. Lisa leaves in the same direction at 6 mph. How many hours does it take for them to be 68 mi apart?

  8. Fred Celia Fred leaves on his bicycle and travels west at 15 km/h. Two hours later Celia jogs east at 9 km/h. How many hours does it take for them to be 102 km apart? Let x = hours after Fred leaves -2

  9. Dan Brisa Dan leaves the school on his skateboard and travels west at 7 km/h. 3 hours later Brisa jogs east at 8 km/h. In many hours will they be 81 km apart? Let x = hours after Dan leaves -3

  10. Alex Elise Alex leaves the school on his jetskates and travels west at 25 km/h. 1 hour later Elise skates in the same direction at 7 km/h. In many hours will they be 88 km apart? 88 -1 25 (x) – 7 (x-1) =88 25x -7x +7 =88

  11. 3. A small plane left Chicago at 11:00 p. m. and traveled at 180 mi/h. A jet left Chicago and traveled in the same direction at 720 mi/h. If the jet left Chicago at 2:00 a.m., at what time will the jet overtake the small plane? • A small plane left Chicago at 11:00 p. m. and traveled at 180 mi/h. A jet left Chicago and traveled in the same direction at 720 mi/h. If the jet left Chicago at 2:00 a.m., at what time will the jet overtake the small plane?

  12. 3. A small plane left Chicago at 11:00 p. m. and traveled at 180 mi/h. A jet left Chicago and traveled in the same direction at 720 mi/h. If the jet left Chicago at 2:00 a.m., at what time will the jet overtake the small plane? • A plane left LAX at noon and traveled at 300 mi/h. A jet left LAX and traveled in the same direction at 700 mi/h. If the jet left at 2:00 pm, at what time will the jet overtake the small plane?

  13. Same Direction Video http://www.youtube.com/watch?v=pX2_JxVRzBM

  14. Opposite Direction Video http://www.youtube.com/watch?v=_omz6n2UtMA

  15. AssignmentPage 3844, 5,6, 9, 10, 13, 14

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