1. I.A.1 – Kinematics: Motion in One Dimension

2. Is the book moving?

3. Some assumptions The motion is in a straight line The object is treated as a particle

4. Position and displacement

5. Average velocity

6. Position vs. time graphs

7. Ex: You drive a beat-up pickup truck along a straight road for 8.4 km at 70.0 km/h when you run out of gas (moron!). Over the next 30.0 min, you walk 2.0 km farther to a gas station. a) What is your displacement? b) What is the total time? c) What is your average velocity? d) Suppose you pump the gas, pay for it and walk back to the truck in another 45.0 min. What is your average speed?

8. Instantaneous speed

9. The position of a particle moving on the x-axis is x = 7.8 + 9.2t – 2.1t 3. What is the velocity at 3.5 s?

10. For the given equations for x(t), in which case is v a) constant b) negative?

11. Acceleration

12. The signs for acceleration and velocity If a and v have the same sign, the object is increasing in speed If a and v have the opposite signs, the object is decreasing in speed

13. Velocity vs. time graphs

14. Position vs time, velocity vs. time, acceleration vs. time

15. Ex. An object’s position is given by x = 4 – 27t + t 3. a) Find the velocity and acceleration of the object as a function of time. b) At what time does v = 0. c) Describe the motion of the object for t ≥ 0.

16. p. 44: 5-7, 37-38 5. a) 4 nsb) 4000 s 6. a) 17 km/h b) – 5.0 km/hc) yours d) 7.7 km/h 7. a) 260 km b) 65 km/h 37. a) 2.4 m/s b) 24.7 m/s 38. – 2.0 m/s 2

17. Constant (or average) acceleration and the Big Four

18. Ex. A car decreases in speed from 100.0 km/h to 80.0 km/h with a displacement of 88.0 m at a constant acceleration. a) What is the acceleration? b) What is the time required for this decrease in speed?

20. p. 47: 52, 54, 58-59, 61 52.50 m 54. v = 3 m/st = 0.5 s 58. 124 m 59. a) -5.1 EE 5 m/s 2 b) 6.9 EE -4 s 61.270 m

21. Free fall acceleration

22. Ex. A man goes over Niagara Falls in a spherical steel container, freely falling 48 m to the water (and rocks) below. How long did he fall and at what speed did he hit the water?

23. Ex. A baseball is tossed vertically with an initial velocity of 12 m/s. a) How long does it take the ball to reach maximum height? b) What is the maximum height above the release point? c) How long does it take the ball to reach a point 5.0 m above the release point?

24. p. 47: 55, 57, 65-66, 73 55. 4590 m 57. a) 4.1 sb) 20 mc) 1 s, 3 s 65. 1.6 m 66. a) -26 mb) 23 m/s 73. a) 19 000 mb) 138 sc) -610 m/s