1. Accelerated Motion Chapter 3

2. Acceleration

3. Definitions of Acceleration

4. Simple Case of Accelerated Motion TimeVelocity 00 515 1030 1545 2060 2575 3090 Velocity Time

5. Deriving Equations of Motion in One Dimension

6. One-Dimensional Equations of Motion If we want to find Equation ✕ ✓✓✓ ✓✓✕✓ ✓✕✓✓ ✓✓✓✕

7. Position with Constant Acceleration Time (s)Position (m) 00 10250 201000 302250 404000 506250

8. Derived Velocity with Constant Acceleration So from the position vs. time data we can determine the acceleration.

9. Displacement of an Object with Constant Acceleration

10. Constant Acceleration Graphical Example

11. Activity

12. An Example of Motion with Constant Acceleration—Free Fall

13. Apollo 15 – Free Fall on the Moon (1971) Apollo 15 Free Fall

14. Free Fall Demo MIT Strobe of Falling Ball

15. Free Fall Example Problem 1 + -

16. Graphical Analysis 1

17. Problem Solving Strategy

18. Simple Example  A car traveling on a straight road at 15 m/s accelerates uniformly to a speed of 21 m/s in 12 seconds. Find the total distance traveled by the car during this 12-second time interval.

19. Free Fall Example Problem 2 +

20. Graphical Analysis 2

21. Example Problems  103. A spaceship far from any star or planet experiences a uniform acceleration from 65.0 m/s to 162.0 m/s in 10 s. How far does it move?  110. Rocket-powered sleds are used to test the responses of humans to acceleration. Starting from rest, one sled can reach a speed of 444 m/s in 1.80 s and can be brought to a stop in again in 2.15 s.  Calculate the acceleration of the sled when starting and compare it with the magnitude of g.  Calculate the acceleration of the sled when braking and compare it with the magnitude of g.  115. A helicopter is rising at 5.0 m/s when a bag of its cargo is dropped. The bag falls for 2.o s.  What is the bag’s velocity?  How far has the bag fallen?  How far below the helicopter is the bag? Rocket sled video

22. Measuring Reaction Time Using Free Fall

24. Human Reaction Time  Human reaction time ranges from 0.1 to 0.5 seconds with a median around 0.215s