8.5 Motion Problems

1. 8.5Motion Problems CA Standard 15.0 One Key Term

2. Vocabulary • Three Problem Solving Strategies • Write an Equation • Draw a Diagram • Make a Table

3. #1 Motion Problems A car leaves Santa Clarita traveling north at 60 mph. Another car leaves Santa Clarita one hour later traveling north on the same freeway at 75 mph. How far from Santa Clarita will the second car overtake the first? • The distances are going to be the same! • Let d = the distance traveled when the cars meet • Let t= the time for the first car

4. #1 Motion Problems Two Variables, Two Equations Distance Rate Time Car 1 d 60 t Car 2 d 75 t – 1

5. #1 Motion Problems 300 miles

6. #2 Motion Problems An airplane flew for 5 hours with a tail wind of 25 km/h. The return flight against the same wind took 6 hours. Find the speed of the airplane in still air. (Hint: The distance is the same both ways.) • The distances are the same. • Let d= the distance traveled • Let r= the speed of the plane in still air

7. #2 Motion Problems Two Variables, Two Equations Distance Rate Time Flight 1 d r + 25 5 Flight 2 d r - 25 6

8. #2 Motion Problems 275 km/h

9. #3 Motion Problems Two cars leave a high school in Los Angeles at the same time in opposite directions. One car travels at 35 mph while the other car travels at 40 mph. In how many hours will they be 100 miles apart? • The distances are not the same! • Let t= The time traveled

10. #3 Motion Problems One Variable, One Equation Rate Time Slow Car 35 t Fast Car 40 t Miles Apart = 100

11. #3 Motion Problems 1 hour 20 minutes