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List the three (3) equations used in this chapter.

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Presentation on theme: "List the three (3) equations used in this chapter."— Presentation transcript:

1 List the three (3) equations used in this chapter.

2 d = d o + v o ·t + ½ a·t 2

3 List the three (3) equations used in this chapter. d = d o + v o ·t + ½ a·t 2 v = v o + a·t

4 List the three (3) equations used in this chapter. d = d o + v o ·t + ½ a·t 2 v = v o + a·t a = (Δv) / t = (v – v o ) / t

5 Record the meaning of each variable.

6 d o = initial position

7 Record the meaning of each variable. d o = initial position d = current (or final) position

8 Record the meaning of each variable. d o = initial position d = current (or final) position v o = initial velocity

9 Record the meaning of each variable. d o = initial position d = current (or final) position v o = initial velocity v = current (or final) velocity

10 Define the following.

11 Position – location related to reference point

12 Define the following. Position – location related to reference point Velocity – change in position per time

13 Define the following. Position – location related to reference point Velocity – change in position per time Acceleration – change in velocity per time

14 Which parts of your car can instantly cause acceleration? Explain each.

15 Acceleration =

16 Which parts of your car can instantly cause acceleration? Explain each. Acceleration = change in velocity

17 Which parts of your car can instantly cause acceleration? Explain each. Acceleration = change in velocity Gas – increases (changes) speed Brake – decreases (changes) speed

18 Consider a position-time graph (d-t)

19 Slope = velocity

20 Consider a position-time graph (d-t) Slope = velocity Y-int = initial position

21 Consider a position-time graph (d-t) Slope = velocity Y-int = initial position Flat line = no change in position (no motion)

22 Consider a position-time graph (d-t) Slope = velocity Y-int = initial position Flat line = no change in position (no motion) Line = constant change (constant velocity)

23 Consider a position-time graph (d-t) Slope = velocity Y-int = initial position Flat line = no change in position (no motion) Line = constant change (constant velocity) Curve = changing velocity (acceleration)

24 Consider a velocity-time graph (v-t)

25 Slope = acceleration

26 Consider a velocity-time graph (v-t) Slope = acceleration Y-int = initial velocity

27 Consider a velocity-time graph (v-t) Slope = acceleration Y-int = initial velocity Flat line = no change (constant velocity) (zero acceleration)

28 Consider a velocity-time graph (v-t) Slope = acceleration Y-int = initial velocity Flat line = no change (constant velocity) (zero acceleration) Line = constant change (constant accel)

29 What do all acceleration-time graphs in this class look like? Why?

30 Flat lines

31 What do all acceleration-time graphs in this class look like? Why? Flat lines All our accelerations will be constant (no change)

32 Explain how an object can slow down with a positive acceleration.

33 Negative velocity and positive accleration

34 Explain how an object can slow down with a positive acceleration. Negative velocity and positive accleration +velocity and +acceleration (speed up) +velocity and (-)acceleration (slow down) (-)velocity and +acceleration (slow down) (-)velocity and (-)acceleration (speed up)

35 What general rule can you follow to know if an object speeds up or slows down during acceleration?

36 Acceleration and velocity direction:

37 What general rule can you follow to know if an object speeds up or slows down during acceleration? Acceleration and velocity direction: Same sign = speed up Opposite sign = slow down

38 Write an equation for a dune buggy that starts at the origin and travels to the right at 5.0 m/s.

39 d = d o + v o ·t + ½ a·t 2

40 Write an equation for a dune buggy that starts at the origin and travels to the right at 5.0 m/s. d = d o + v o ·t + ½ a·t 2 d = 0 + (5m/s) t + ½ (0) t 2

41 Write an equation for a dune buggy that starts at the origin and travels to the right at 5.0 m/s. d = d o + v o ·t + ½ a·t 2 d = 0 + (5m/s) t + ½ (0) t 2 d = (5)t

42 Write an equation for a car that starts at the origin at rest and accelerates to the right at 6.0 m/s 2.

43 d = d o + v o ·t + ½ a·t 2

44 Write an equation for a car that starts at the origin at rest and accelerates to the right at 6.0 m/s 2. d = d o + v o ·t + ½ a·t 2 d = 0 + (0 m/s) t + ½ (6 m/s 2 ) t 2

45 Write an equation for a car that starts at the origin at rest and accelerates to the right at 6.0 m/s 2. d = d o + v o ·t + ½ a·t 2 d = 0 + (0 m/s) t + ½ (6 m/s 2 ) t 2 d = (3)t 2

46 Write a velocity equation for the previous fan car.

47 v f = v o + a·t

48 Write a velocity equation for the previous fan car. v f = v o + a·t v f = 0 m/s + (6.0 m/s 2 )·t

49 Write a velocity equation for the previous fan car. v f = v o + a·t v f = 0 m/s + (6.0 m/s 2 )·t v f = (6)t

50 Using the previous two questions, show how you could find out when they would meet?

51 Set both equations equal to each other

52 Using the previous two questions, show how you could find out when they would meet? Set both equations equal to each other (5) t = (0.5) t 2

53 Using the previous three questions, show how you could find out where they would meet?

54 Use the calculated time in either equation

55 13a) a = 0.75 m/s 2 13b) ∆d = 216 m 14a) V f = 10 m/s 14b) ∆d = 150 m 15) v 0 = 5 m/s 16) ∆d = 48 m 17) a = -125 m/s 2 (an answer of 25 m/s 2 means you forgot directions on your velocities) 18a) a = -2.5 m/s 2 18b) ∆d = 125 m

56 d-ta-tv-t This shape can appear anywhere along the y-axis

57 d-ta-tv-t This shape can appear anywhere along the y-axis

58 d-ta-tv-t This shape can appear anywhere along the y-axis

59 d-ta-tv-t This shape can appear anywhere along the y-axis

60 d (m ) t ( sec) A B C D E F G


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