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A student drives from Atlanta to Charlotte (250 miles)
                 with the cruise control set to 65mi/hr. On the trip back
                 home, they decide to test the boundries of the law, and
                    drive back with the cruise control set to 85 mi/hr.


            Sketch a position vs time graph on mini whiteboard.
Thursday, August 26, 2010
250




                                     200




                                     150
                     Position (mi)




                                     100




                                     50




                                      0
                                           0   1   2   3              4   5   6   7

                                                           Time (h)




Thursday, August 26, 2010
A student drives from Atlanta to Charlotte (250 miles)
                 with the cruise control set to 65mi/hr. On the trip back
                 home, they decide to test the boundries of the law, and
                    drive back with the cruise control set to 85 mi/hr.

        Sketch a velocity vs time graph for the same situation.

Thursday, August 26, 2010
100


                                         80


                                         60


                                         40
                     Velocity (mi/hr)




                                         20


                                          0
                                               0   1   2   3          4   5   6   7

                                        -20


                                        -40


                                        -60


                                        -80


                                        -100

                                                               Time




Thursday, August 26, 2010
Calculate the average velocity for the trip.




Thursday, August 26, 2010
Calculate the average speed for the trip.




Thursday, August 26, 2010
100


                                         80


                                         60


                                         40
                     Velocity (mi/hr)




                                         20


                                          0
                                               0   1   2   3          4   5   6   7

                                        -20


                                        -40


                                        -60


                                        -80


                                        -100

                                                               Time




Thursday, August 26, 2010
100


                                 80


                                 60


                                 40                            mi 250 mi
                                       ∆x = Area = v ∆t = 65
                                                   ¯             ·       = 250 mi
                                                               h 65 mih
             Velocity (mi/hr)




                                 20


                                  0
                                       0        1          2            3           4            5         6           7

                                -20


                                -40


                                -60


                                -80


                                -100                                                             mi 250 mi
                                                                        ∆x = Area = v ∆t = −85
                                                                                    ¯              ·       = −250 mi
                                                                                                 h −85 mih
                                                                             Time




Thursday, August 26, 2010
250




                                     200




                                     150
                     Position (mi)




                                     100




                                     50




                                      0
                                           0   1   2   3              4   5   6   7

                                                           Time (h)




Thursday, August 26, 2010

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Velocity problem

  • 1. A student drives from Atlanta to Charlotte (250 miles) with the cruise control set to 65mi/hr. On the trip back home, they decide to test the boundries of the law, and drive back with the cruise control set to 85 mi/hr. Sketch a position vs time graph on mini whiteboard. Thursday, August 26, 2010
  • 2. 250 200 150 Position (mi) 100 50 0 0 1 2 3 4 5 6 7 Time (h) Thursday, August 26, 2010
  • 3. A student drives from Atlanta to Charlotte (250 miles) with the cruise control set to 65mi/hr. On the trip back home, they decide to test the boundries of the law, and drive back with the cruise control set to 85 mi/hr. Sketch a velocity vs time graph for the same situation. Thursday, August 26, 2010
  • 4. 100 80 60 40 Velocity (mi/hr) 20 0 0 1 2 3 4 5 6 7 -20 -40 -60 -80 -100 Time Thursday, August 26, 2010
  • 5. Calculate the average velocity for the trip. Thursday, August 26, 2010
  • 6. Calculate the average speed for the trip. Thursday, August 26, 2010
  • 7. 100 80 60 40 Velocity (mi/hr) 20 0 0 1 2 3 4 5 6 7 -20 -40 -60 -80 -100 Time Thursday, August 26, 2010
  • 8. 100 80 60 40 mi 250 mi ∆x = Area = v ∆t = 65 ¯ · = 250 mi h 65 mih Velocity (mi/hr) 20 0 0 1 2 3 4 5 6 7 -20 -40 -60 -80 -100 mi 250 mi ∆x = Area = v ∆t = −85 ¯ · = −250 mi h −85 mih Time Thursday, August 26, 2010
  • 9. 250 200 150 Position (mi) 100 50 0 0 1 2 3 4 5 6 7 Time (h) Thursday, August 26, 2010