1. A student in a physics class made a picture of this.
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. x
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. What are the signs of the three missing variables?
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 the situation but did not include the signs of the variables. x
to = 0 s
xo = __ 20 m
vo = __ 12 m/s
a = __ 6.0 m/s2
What are the signs of the three missing variables?
xo vo a
1 + – –
2 + – +
3 + + –
5 – – +

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

4. Which graph is the best representation of the car’s motion?
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. x t 2 x t 1 x t 3 t x 4
No graph represents the motion correctly

5. Below is a mathematical description of the same motion.
A bicycle is moving on the road. Its motion is described by the graph below. v t
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?
vo a – –
– –

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 = ( m/s) + (10 m/s2) t
3. Vf = (5.0 m/s) + ( - 10 m/s2) t
4. Vf = ( m/s) + ( - 10 m/s2) t
5. Either 2 or 3 are correct

7. 1 a∆t ∆t v x xf + = x > v  a 
The mathematical representation seen below is in a physics textbook.  
> a v x o 2 1
a∆t ∆t v x xf o + =
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 x t 2 x t 1 x t 3 t x 4

8. a∆x v vf a∆t ∆t x xf 2 1 + = / 10 20 5 s m a v x - =
Susy sees the mathematical representation below in her physics book.
a∆x v vf
a∆t ∆t x xf o 2 1 + = 2 / 10 20 5 s m a v x o - =
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. What are the signs of the three missing variables?
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.
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 x
What are the signs of the three missing variables?
xf vf a
1 + – –
2 – – +
3 – + –
5 – – +

10. A car is moving along the road as seen in the motion diagram below.x +
vfinal
vinitial
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 = ( m/s) + (10 m/s2) t
3. Vf = (5.0 m/s) + ( - 10 m/s2) t
4. Vf = ( m/s) + ( - 10 m/s2) t
5. Either 2 or 3 are correct

11. a∆x v vf a∆t ∆t x xf 2 1 + = / 10 -20 5 s m a v x - =
Bobby sees the mathematical representation below in her physics book.
a∆x v vf
a∆t ∆t x xf o 2 1 + = 2 / 10
-20 5 s m a v x o - =
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. A car is moving along the road as seen in the motion diagram below.x +
vfinal
vinitial
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 = ( m/s) + (10 m/s2) t
3. Vf = (5.0 m/s) + ( - 10 m/s2) t
4. Vf = ( m/s) + ( - 10 m/s2) t
5. Either 2 or 3 are correct

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

14. Which graph is the best representation of the car’s motion?
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. x t 2 x t 1 x t 3 t x 4
No graph represents the motion correctly

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

16. Alan sees the following three diagrams next to each other in his physics book.v t 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.