Velocity 1

1. A toy car moves 2m every 2s for 10s.What kind of a representation is this?Create as many representations of this as possible. • Verbal • Picture • Index • Table • Function/Equation • Plot Graph • Motion Diagram Velocity 1

2. SmashySmashy Car Crashy Where will 2 cars collide? Velocity 2

3. Curiosity Observe Data then Hypothesize from Data Patterns • Observation Experiement • Method • Materials • Timer • Meter Sticks • Sand Bags • Blue & Red Car • Procedure • Error/Uncertainty • Results • Data Reason a Hypothesis from Patterns in Data Velocity 3

4. Represent Car Motion Hypothesis Using all of the Following Representations… • Verbal • Picture • Index • Table • Function/Equation • Plot Graph • Motion Diagram Some of these representations overlap (e.g. you need an index and equations in your motion diagram) Velocity 4

5. SkepticismPredict to Test your Hypothesis Predict the outcome of a Testing Experiment assuming your Hypothesis is correct. Perform the Testing Experiment then compare the actual outcome to your prediction. Your test is an experiment and must include… • Testing Experiement • Predict • Method • Materials • Procedure • Error/Uncertainty • Results • Data • Compare Predicted to Actual Outcome, Revise if Necessary Velocity 5

6. Represent Car Motion Prediction Using all of the Following Representations… • Verbal • Picture • Index • Table • Function/Equation • Plot Graph • Motion Diagram Some of these representations overlap (e.g. you need an index and equations in your motion diagram) Velocity 6

7. Four friends represented the motion of the same car in different ways. Which would best represent the motion of the car as a function of time? Draw the one you think is best and label why. Velocity 7

8. Mayes and Patel are at the boardwalk. They are riding bumper cars and heading straight towards each other. If they start 10 m apart, M is going 1m/s, and P is going 2 m/s, where will they meet?Answer with a motion diagram and plot graph. Velocity 8

9. Represent this data with motion diagrams, graphs, and equations. Predict where they will meet. How did you predict? Shiv Megha Velocity 9

10. Kevin sees a spider crawl up Nishi’s leg and measures position each second. 0s Nishi measures her hand’s position each second to squash the bug. When and where does she squash the bug? Use MD’s, and plots. 0s What can you say about the motion of Nishi’s hand? Acceleration 10

11. Hypothesize the motion of a ball if you set it in motion then let it roll to a stop. Materials: Meter sticks, balls, sand bags, books, timers Acceleration 11

12. Nainil measured a bug scampering away. Create a motion diagram.Plot these points on a position vs. time graph. Find the change in velocity between each dot from the the 1st dot to the 11th. Δt = 1s 0s Acceleration 12

13. Acceleration 13

14. We have learned that V = Δx/ΔtUsing this, what is acceleration?Use words and equations for your answer. Acceleration 14

15. Tim rolled me down a hill.Plot-graph this data of my position at a clockreading.What is each ΔV and acceleration? Plot velocity versus time. Acceleration 15

16. Dennis throws a tennis ball away from Earth with an initial velocity of 100 m/s up. Make a position vs. time graph and V vs. t graph. What is the acceleration? How high does it go (distance)? How far away is it from where it started (displacement)? Acceleration 16

17. An object has an initial vertical velocity of Vi = 10m/s. Create a problem with rubric which uses this as the answer. Acceleration 17

18. How do we calculate acceleration? How could we find Vf from this if we know all other physical quantities? Kinematic Equations 18

19. Kinematic Equations 19

20. Create a mathematical procedure for finding the area under the graph. Vf Vi Kinematic Equations 20

21. By breaking the area under the curve into a rectangle (area=vit) and triangle (area=½(vf – vi)t) then adding them together we get Kinematic Equations 21

22. Derive the following kinematic equations below from three you have derived. Kinematic Equations 22

23. Substitute into to get Kinematic Equations 23

24. Multiply by to get Kinematic Equations 24

25. Draw a motion diagram for an apple falling from rest for 4 seconds. What will the Vf of the apple be? Kinematic Equations 25

26. Make a story for each graph both verbally and mathematically. Kinematic Equations 26

27. Create a problem with a rubric whose answer is a = -4.6m/s2. Kinematic Equations 27

28. Gokul ‘Flash’ Murugesan’s motion is described in equations below. Use as many other representations as possible to describe this motion.

29. Jess and Matt are walking down a hallway. Matt is carrying a box of Mentos™ and Jess is carrying a crate of Coke™. Will they be covered in explosive grossness? Kinematic Equations 29

30. Cheryl pegs Mr. Mayes with a snowball. The snowball leaves Cheryl’s hand with a velocity of 10 m/s at an angle of 30o away from the ground (Earth). Projectiles and 2D Motion 30

31. The First Half of the TrajectoryY or Vertical Dimension • After the balloon leaves the launcher, it travels upward in the path of a parabolic arc until gravity decelerates it’s vertical, upward motion to a stop. Arrow size is correlated to speed. GRAVITY Acceleration Projectiles and 2D Motion 31

32. Second Half of the TrajectoryY or Vertical Dimension • Gravity then accelerates the projectile downward from the top of this arc. Arrow size is correlated to speed. GRAVITY Acceleration Projectiles and 2D Motion 32

33. Hang Time (Δt) • Using the kinematic equations we need to calculate how much time it takes for the Y velocity from the sling to decelerate to zero at the top of the first half of the projectile’s trajectory. • This gives us half of our “hang time” (Δt1/2) or half the time the projectile spends in the air. • Multiply by 2 to get the total hang time and use the kinematic equations to find the distance the projectile travels in it’s trajectory. Projectiles and 2D Motion 33

34. The Whole TrajectoryX or Horizontal Dimension • With no forces acting in the horizontal or X dimension after the initial projection, what does the X velocity do throughout flight? Projectiles and 2D Motion 34

35. The Whole TrajectoryX or Horizontal Dimension • If we use trigonometry on the initial velocity out of the sling, we get the constant velocity of the balloon in the X direction throughout flight. • We also have the hang time. • We have a rate (V) and a time interval (Δt), so we are able to get the total displacement the balloon travels from d = VΔt Constant X Velocity Projectiles and 2D Motion 35

36. Patel Pegs Mayes Cheryl pegs Mr. Mayes with a snowball. The snowball leaves Cheryl’s hand with a velocity of 10 m/s at an angle of 30o away from the ground (Earth). How far away from Cheryl is Mr. Mayes standing? Projectiles and 2D Motion 36

37. Projectile Physics Hypothesize Design an experiment to hypothesize what the initial velocity of a marble being shot out of your launcher is. ***!!!Reminder!!!*** Experiments need methods, data, assumptions and error/uncertainty. Analysis of the data is looking for patterns and your conclusion is your hypothesis from these patterns. Projectiles and 2D Motion 37

38. Projectile Physics Predict Now we test our hypothesis by predicting how far our launcher will launch if firing at a 30o angle. Projectiles and 2D Motion 38

39. Daredevil Canyon Jump Aditi ‘The Awesomizer’ tries to jump a canyon of width 80m. To do so, she drives her motorcycle up a ramp. The ramp is at an angle of 17.5 degrees up from the ground. What minimum Vi is necessary to successfully jump the canyon? Express your answer with JUST variables first, then put quantities in. Not to be outdone, Gunica ‘The Brawler’ Bhatia attempts to jump an even larger part of the canyon. She measures the canyon and calculates that her initial speed must be 26.7 m/s at an angle of 17.5 degrees to just barely clear the larger part of the canyon. What is the width of the canyon here? Express your answer with JUST variables first, then put quantities in. Projectiles and 2D Motion 39

40. Let’s make our own projectile problems. Your group will have to create three problems. These problems have to solve for:1. Θ2. ΔX3. ViYour problems must have answers and a rubric. Projectiles and 2D Motion 40