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1. Which of the following statements about vectors and scalars are TRUE? List all that apply.

- A vector is a large quantity and a scalar is a small quantity.
- A scalar quantity has a magnitude and a vector quantity does not.
- A vector quantity is described with a direction and a scalar is not.
- Scalar quantities are path dependent quantities and vector quantities are not.
- A scalar quantity depends only upon the initial and final values of the quantity; this is not the case for vector quantities.
- The quantity 20 m/s, north is a speed and as such is a scalar quantity.
- The quantity 9.8 m/s/s is an acceleration value and as such is a vector quantity.

a. b. c. d. e. f. g. |

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Vectors and Scalars |

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2. Which of the following statements about distance and/or displacement are TRUE? List all that apply.

- Distance is a vector quantity and displacement is a scalar quantity.
- A person makes a round-trip journey, finishing where she started. The displacement for the trip is 0 and the distance is some nonzero value.
- A person starts at position A and finishes at position B. The distance for the trip is the length of the segment measured from A to B.
- If a person walks in a straight line and never changes direction, then the distance and the displacement will have exactly the same magnitude.
- The phrase "20 mi, northwest" likely describes the distance for a motion.
- The phrase "20 m, west" likely describes the displacement for a motion.
- The diagram below depicts the path of a person walking to and fro from position A to B to C to D. The distance for this motion is 100 yds.
- For the same diagram below, the displacement is 50 yds.

a. b. c. d. e. f. g. h. |

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Distance vs. Displacement |

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3. Which of the following statements about velocity and/or speed are TRUE? List all that apply.

- Velocity is a vector quantity and speed is a scalar quantity.
- Both speed and velocity refer to how fast an object is moving.
- Person X moves from location A to location B in 5 seconds. Person Y moves between the same two locations in 10 seconds. Person Y is moving with twice the speed as person X.
- The velocity of an object refers to the rate at which the object's position changes.
- For any given motion, it is possible that an object could move very fast yet have an abnormally small velocity.
- The phrase "30 mi/hr, west" likely refers to a scalar quantity.
- The average velocity of an object on a round-trip journey would be 0.
- The direction of the velocity vector is dependent upon two factors: the direction the object is moving and whether the object is speeding up or slowing down.
- The diagram below depicts the path of a person walking to and fro from position A to B to C to D. The entire motion takes 8 minutes. The average speed for this motion is approximately 11.3 yds/min.
- For the same diagram below, the average velocity for this motion is 0 yds/min.

a. b. c. d. e. f. g. h. i. j. |

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Speed vs. Velocity |

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4. Which of the following statements about acceleration are TRUE? List all that apply.

- Acceleration is a vector quantity.
- Accelerating objects MUST be changing their speed.
- Accelerating objects MUST be changing their velocity.
- Acceleration units include the following; m/s
^{2}, mi/hr/sec, cm/s^{2}, km/hr/m. - The direction of the acceleration vector is dependent upon two factors: the direction the object is moving and whether the object is speeding up or slowing down.
- An object which is slowing down has an acceleration.
- An object which is moving at constant speed in a circle has an acceleration.
- Acceleration is the rate at which the velocity changes.
- An object that is accelerating is moving fast.
- An object that is accelerating will eventually (if given enough time) be moving fast.
- An object that is moving rightward has a rightward acceleration.
- An object that is moving rightward and speeding up has a rightward acceleration.
- An object that is moving upwards and slowing down has an upwards acceleration.

a. b. c. d. e. f. g. h. i. j. k. l. m. |

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Acceleration |

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5. Which of the following statements about position-time graphs are TRUE? List all that apply.

- Position-time graphs cannot be used to represent the motion of objects with accelerated motion.
- The slope on a position-time graph is representative of the acceleration of the object.
- A straight, diagonal line on a position-time graph is representative of an object with a constant velocity.
- If an object is at rest, then the position-time graph will be a horizontal line located on the time-axis.
- Accelerated objects are represented on position-time graphs by curved lines.
- An object with a positive velocity will be represented on a position-time graph by a line with a positive slope.
- An object with a negative velocity will be represented on a position-time graph by a line with a negative slope.
- An object with a positive acceleration will be represented on a position-time graph by a line which curves upwards.
- An object with a negative acceleration will be represented on a position-time graph by a line which curves downwards.

a. b. c. d. e. f. g. h. i. |

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The Meaning of Shape for a p-t Graph | The Meaning of Slope for a p-t Graph |

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6. Which of the following statements about velocity-time graphs are TRUE? List all that apply.

- The slope on a velocity-time graph is representative of the acceleration of the object.
- The area on a velocity -time graph is representative of the change in position of the object.
- An accelerated object's motion will be represented by a curved line on a velocity-time graph.
- Objects with positive acceleration will be represented by upwardly-curved lines on a velocity-time graph.
- If an object is at rest, then the velocity-time graph will be a line with zero slope.
- A line with zero slope on a velocity-time graph will be representative of an object which is at rest.
- A line with a negative slope on a velocity-time graph is representative of an object with negative velocity.
- If an object changes its direction, then the line on the velocity-time graph will have a changing slope.
- An object which is slowing down is represented by a line on a velocity-time graph which is moving in the downward direction.

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7. Which of the following statements about free fall and the acceleration of gravity are TRUE? List all that apply.

- An object that is free-falling is acted upon by the force of gravity alone.
- A falling skydiver which has reached terminal velocity is
considered to be in a
*state of*free fall. - A ball is thrown upwards and is rising towards its peak. As
it rises upwards, it is NOT considered to be in a
*state of*free fall. - An object in free fall experiences an acceleration which is independent of the mass of the object.
- A ball is thrown upwards, rises to its peak and eventually falls back to the original height. As the ball rises, its acceleration is upwards; as it falls, its acceleration is downwards.
- A ball is thrown upwards, rises to its peak and eventually
falls back to the original height. The speed at which it is launched
equals the speed at which it
*lands*. (Assume negligible air resistance.) - A very massive object will free fall at the same rate of acceleration as a less massive object.
- The value of
**g**on Earth is approximately 9.8 m/s^{2}. - The symbol
**g**stands for the force of gravity.

a. b. c. d. e. f. g. h. i. |

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Introduction to Free Fall | The Acceleration of Gravity |

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