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A student in a physics class made a picture of this.

Explore and analyze physics scenarios with graphs and equations to identify correct labeling, signs, and representational accuracy. Enhance understanding of motion diagrams and mathematical interpretations.

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A student in a physics class made a picture of this.

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  1. 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/s2. 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. to = 0 s xo = + 20 m vo = – 12 m/s a = – 6.0 m/s2 Which of the following is labeled wrong? Did the student mislabel anything? 1 xo 2 vo 3 a 4 a & vo 5 all of the values are correct

  2. 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/s2. Your car stops before it reaches the stoplight (which is considered to be at the origin). x A student in a physics class made a picture of the situation but did not include the signs of the variables. to = 0 s xo = __ 20 m vo = __ 12 m/s a = __ 6.0 m/s2 What are the signs of the three missing variables? xovoa 1 + – – 2 + – + 3 + + – 4 + + + 5 – – +

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

  4. 3 1 2 x x x t t t 4 x t 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/s2. Your car stops before it reaches the stoplight (which is considered to be at the origin). Which graph is the best representation of the car’s motion? Construct a position versus time graph that is the best representation of the car’s motion. • No graph represents the motion correctly

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

  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? Construct a mathematical representation that best matches this process. 1. Vf = (5.0 m/s) + (10 m/s2) t 2. Vf = ( - 5.0 m/s) + (10 m/s2) t 3. Vf = (5.0 m/s) + ( - 10 m/s2) t 4. Vf = ( - 5.0 m/s) + ( - 10 m/s2) t 5. Either 2 or 3 are correct

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

  8. 1 x 5 m = 2 a∆t xf x v ∆t + = + o o o 2 v 20 m / s = o 2 2 vf v 2 a∆x = + 2 a 10 m / s o = - Susy sees the mathematical representation below in her physics book. Which description best represents this situation? Construct a verbal description that best represents this situation. • This is a car that is moving to the right and is accelerating in the same direction. • A ball was thrown upwards in the air at a speed of 20 m/s. • A ball was thrown downwards at a height of 5 m at a speed of 20 m/s.

  9. Your car is initially at rest but then stoplight turns green. You speed up toward east at a rate of 5.0 m/s2. 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 A student in a physics class made a picture of the situation but did not include the signs of the variables. xf = __ 25 m vf = __ 16 m/s a = __ 5.0 m/s2 What are the signs of the three missing variables? xfvfa 1 + – – 2 – – + 3 – + – 4 + + + 5 – – +

  10. vinitial vfinal x + A car is moving along the road as seen in the motion diagram below. Which mathematical representation below could match this process? Construct a mathematical representation that could match this process. 1. Vf = (5.0 m/s) + (10 m/s2) t 2. Vf = ( - 5.0 m/s) + (10 m/s2) t 3. Vf = (5.0 m/s) + ( - 10 m/s2) t 4. Vf = ( - 5.0 m/s) + ( - 10 m/s2) t 5. Either 2 or 3 are correct

  11. 1 x 5 m = 2 xf x v ∆t a∆t = + + o 2 o o v -20 m / s = o 2 2 vf v 2 a∆x = + 2 a 10 m / s o = - Bobby sees the mathematical representation below in her physics book. Which description best represents this situation? Construct a verbal description that best represents this situation. • This is a car that is moving to the right and is accelerating in the same direction. • A ball was thrown upwards in the air at a speed of 20 m/s. • A ball was thrown downwards at a height of 5 m at a speed of 20 m/s.

  12. vinitial vfinal x + A car is moving along the road as seen in the motion diagram below. Which mathematical representation below could match this process? Construct a mathematical representation that could match this process. 1. Vf = (5.0 m/s) + (10 m/s2) t 2. Vf = ( - 5.0 m/s) + (10 m/s2) t 3. Vf = (5.0 m/s) + ( - 10 m/s2) t 4. Vf = ( - 5.0 m/s) + ( - 10 m/s2) t 5. Either 2 or 3 are correct

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

  14. 3 1 2 x x x t t t 4 x t A roller coaster is rolling down a hill, speeding up at a rate of 8 m/s2. Which graph is the best representation of the car’s motion? Construct a position versus time graph that is the best representation of the car’s motion. • No graph represents the motion correctly

  15. vinitial vfinal + A skateboarder is moving along the road as seen in the motion diagram below. Which mathematical representation below could match this process? Construct a mathematical representation that could match this process. 1. Vf = (5.0 m/s) + (10 m/s2) t 2. Vf = ( - 5.0 m/s) + (10 m/s2) t 3. Vf = (5.0 m/s) + ( - 10 m/s2) t 4. Vf = ( - 5.0 m/s) + ( - 10 m/s2) t 5. Either 2 or 3 are correct

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

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