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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 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? 1 x o 2 v o 3 a 4 a  &  v o 5 all of the values are correct Did the student mislabel anything? x
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? x o   v o a  1 + – – 2 + – + 3 + + – 4 + + + 5 – – + 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). x
The motion of a car is represented with the motion diagram below. Which graph best matches the motion diagram? ,[object Object],Construct a velocity versus time graph to best match the motion diagram and picture. v t 1 v t 2 v t 3 v t 4 x v initial v final a
Which graph is the best representation of the car’s motion? ,[object Object],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. x t 1 x t 2 x t 3 t x 4
1  +  – 2  +  + 3  –  + 4  –  – A bicycle is moving on the road.  Its motion is described by the graph below.    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? v t
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.
Which graph best represents this situation? ,[object Object],[object Object],[object Object],The mathematical representation seen below is in a physics textbook. Construct a position versus time graph to best represent this situation. x t 1 x t 2 x t 3 t x 4
Which description best represents this situation? ,[object Object],[object Object],[object Object],Susy sees the mathematical representation below in her physics book. Construct a verbal description that best represents this situation.
[object Object],[object Object],[object Object],[object Object],Are these three diagrams consistent with each other? Alan sees the following three diagrams next to each other in his physics book. a t A C B x t v t
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

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Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
 

Kinematics+think+then+mc

  • 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? 1 x o 2 v o 3 a 4 a & v o 5 all of the values are correct Did the student mislabel anything? x
  • 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? x o v o a 1 + – – 2 + – + 3 + + – 4 + + + 5 – – + 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). x
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  • 5. 1 + – 2 + + 3 – + 4 – – A bicycle is moving on the road. Its motion is described by the graph below. 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? v t
  • 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.
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  • 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