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A stoplight 20 m to the west turns yellow. Your car is traveling west at 12 m/s. You hit the brakes and decelerate at a rate of 6.0 m/s 2. Your car stops.

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Presentation on theme: "A stoplight 20 m to the west turns yellow. Your car is traveling west at 12 m/s. You hit the brakes and decelerate at a rate of 6.0 m/s 2. Your car stops."— Presentation transcript:

1 A stoplight 20 m to the west turns yellow. Your car is traveling west at 12 m/s. You hit the brakes and decelerate at a rate of 6.0 m/s 2. Your car stops before it reaches the stoplight (which is considered to be at the origin). A student in a physics class made a picture of this. t o = 0 s x o = + 20 m v o = – 12 m/s a = – 6.0 m/s 2 Which of the following is labeled wrong? 1x o 2v o 3a 4a & v o 5all of the values are correct x Did the student mislabel anything?

2 A student in a physics class made a picture of the situation but did not include the signs of the variables. t o = 0 s x o = __ 20 m v o = __ 12 m/s a = __ 6.0 m/s 2 What are the signs of the three missing variables? xo voa1+––2+–+3++–4+++5––+xo voa1+––2+–+3++–4+++5––+ x A stoplight 20 m to the west turns yellow. Your car is traveling west at 12 m/s. You hit the brakes and decelerate at a rate of 6.0 m/s 2. Your car stops before it reaches the stoplight (which is considered to be at the origin).

3 The motion of a car is represented with the motion diagram below. Which graph best matches the motion diagram? 5No graph represents the motion correctly v t 1 v t 2 v t 3 v t 4 Construct a velocity versus time graph to best match the motion diagram and picture. x v initial v final a

4 Which graph is the best representation of the car’s motion? x t 1 x t 2 5No graph represents the motion correctly x t 3 t x 4 A stoplight 20 m to the west turns yellow. Your car is traveling west at 12 m/s. You hit the brakes and decelerate at a rate of 6.0 m/s 2. Your car stops before it reaches the stoplight (which is considered to be at the origin). Construct a position versus time graph that is the best representation of the car’s motion.

5 1 + – 2 + + 3 – + 4 – – A bicycle is moving on the road. Its motion is described by the graph below. v t v o a Below is a mathematical description of the same motion. What should the signs of v o and a be to be consistent with the above graphical description?

6 A hot air balloon is stationary in the sky as seen in the picture. A person throws a ball up in the air at 5 m/s. Which set of mathematical representations best matches this process? 1.V f = (5.0 m/s) + (10 m/s 2 ) t 2.V f = ( - 5.0 m/s) + (10 m/s 2 ) t 3.V f = (5.0 m/s) + ( - 10 m/s 2 ) t 4.V f = ( - 5.0 m/s) + ( - 10 m/s 2 ) t 5.Either 2 or 3 are correct Construct a mathematical representation that best matches this process.

7 Which graph best represents this situation? x t 1 x t 2 5Graphs 3 & 4 6Graphs 2, 3 & 4 7No graph represents the motion correctly x t 3 t x 4 The mathematical representation seen below is in a physics textbook. 2 2 1 a∆t∆tvxxfxf oo  0 0 0    a v x o o Construct a position versus time graph to best represent this situation.

8 Which description best represents this situation? 1This is a car that is moving to the right and is accelerating in the same direction. 2A ball was thrown upwards in the air at a speed of 20 m/s. 3A ball was thrown downwards at a height of 5 m at a speed of 20 m/s. Susy sees the mathematical representation below in her physics book. a∆xvvfvf a∆t ∆tvxxfxf o oo 2 2 1 2 2 2    2 /10 /20 5 sma smv mx o o    Construct a verbal description that best represents this situation.

9 A student in a physics class made a picture of the situation but did not include the signs of the variables. x f = __ 25 m v f = __ 16 m/s a = __ 5.0 m/s 2 What are the signs of the three missing variables? x f v f a 1+–– 2– –+ 3– +– 4+++ 5––+ Your car is initially at rest but then stoplight turns green. You speed up toward east at a rate of 5.0 m/s 2. The stoplight is now 25 m to the west of you and you are traveling east at speed of 16 m/s. The stoplight is considered to be at the origin. x

10 A car is moving along the road as seen in the motion diagram below. Which mathematical representation below could match this process? 1.V f = (5.0 m/s) + (10 m/s 2 ) t 2.V f = ( - 5.0 m/s) + (10 m/s 2 ) t 3.V f = (5.0 m/s) + ( - 10 m/s 2 ) t 4.V f = ( - 5.0 m/s) + ( - 10 m/s 2 ) t 5.Either 2 or 3 are correct Construct a mathematical representation that could match this process. x + v final v initial

11 Which description best represents this situation? 1This is a car that is moving to the right and is accelerating in the same direction. 2A ball was thrown upwards in the air at a speed of 20 m/s. 3A ball was thrown downwards at a height of 5 m at a speed of 20 m/s. Bobby sees the mathematical representation below in her physics book. a∆xv vfvf a∆t∆tvxxfxf o oo 2 2 1 2 2 2   2 /10 /-20 5 sma smv mx o o    Construct a verbal description that best represents this situation.

12 A car is moving along the road as seen in the motion diagram below. Which mathematical representation below could match this process? 1.V f = (5.0 m/s) + (10 m/s 2 ) t 2.V f = ( - 5.0 m/s) + (10 m/s 2 ) t 3.V f = (5.0 m/s) + ( - 10 m/s 2 ) t 4.V f = ( - 5.0 m/s) + ( - 10 m/s 2 ) t 5.Either 2 or 3 are correct Construct a mathematical representation that could match this process. x + v final v initial

13 The motion of a car is represented with the motion diagram below. Which graph best matches the motion diagram? 5No graph represents the motion correctly v t 1 v t 2 v t 3 v t 4 Construct a velocity versus time graph to best match the motion diagram and picture. x v initial v final a

14 Which graph is the best representation of the car’s motion? x t 1 x t 2 5No graph represents the motion correctly x t 3 t x 4 A roller coaster is rolling down a hill, speeding up at a rate of 8 m/s 2. Construct a position versus time graph that is the best representation of the car’s motion.

15 A skateboarder is moving along the road as seen in the motion diagram below. Which mathematical representation below could match this process? 1.V f = (5.0 m/s) + (10 m/s 2 ) t 2.V f = ( - 5.0 m/s) + (10 m/s 2 ) t 3.V f = (5.0 m/s) + ( - 10 m/s 2 ) t 4.V f = ( - 5.0 m/s) + ( - 10 m/s 2 ) t 5.Either 2 or 3 are correct Construct a mathematical representation that could match this process. + v final v initial

16 1.Yes, all three diagrams are consistent. 2.No, Diagram A is not consistent with the other two. 3.No, Diagram B is not consistent with the other two. 4.No, Diagram C is not consistent with the other two. Are these three diagrams consistent with each other? Alan sees the following three diagrams next to each other in his physics book. x t v t a t A CB


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