Section 1 
1. Speed, distance/time, is the rate at which distance is traveled.
2. We call any quantity that specifies both magnitude and direction a vector.
3. Scalars are quantities that have magnitudes, but no direction.
4. The displacement is the distance and direction from some starting position to some ending position using the shortest straight-line path.
5. Vectors are indicated by putting their names in bold type or by putting arrows over the top of their names,
6. Position, in one dimension, is indicated by a positive or negative value indicating the distance along some reference line from an arbitrarily chosen origin. The sign indicates the direction traveled from the origin. Generally, the positive direction is to the right or up.
7. The displacement is a vector from the starting point to the ending point of some motion. We calculate it in one dimension using the equation: Δx = x2 - x1.
The actual path between the starting and ending positions is unimportant.
8. In one dimension, the direction of the displacement is indicated by its sign. An object with a positive displacement has been moved to the right or upward.
9. Two vectors are equal if they have the same magnitude and direction, regardless of their starting and ending points.
10. The sign of a vector always indicates direction.
1. A rising x,t graph indicates motion in a positive direction.
A falling graph indicates motion in a negative direction.
2. A steep graph indicates a large speed, a graph with a more gentle slope indicates a small speed.
3. A position, time graph would be horizontal if the speed was zero since the object's position would remain the same as time passed.
1.
2. A positive velocity indicates motion in a positive direction.
A negative velocity indicates motion in a negative direction.
3.
4. The average velocity does not tell us any details about the location of an object during an interval unless it has a constant velocity.
5. The slope of a position, time graph is a measure of the average velocity of the object.
The magnitude of the slope equals the average speed.
The sign of the slope indicates the direction of motion.
The units are also in the correct form for velocity, i.e., displacement/time.
6. The velocity at some instant is called the instantaneous velocity.
7. Our average velocity equation, solved for displacement produces a formal statement of the familiar
"distance = rate x time."
1. A position, time graph indicates constant speed by a constant slope.
On a v,t graph, constant speed is indicated by constant height - a straight, horizontal line.
2. A position, time graph indicates the direction of motion by a rising (positive velocity) or falling (negative velocity) line.
On a v,t graph, a positive velocity is indicated by a line which is above the time axis. A negative velocity is indicated by a line which is below the time axis.
3. A position, time graph indicates a zero velocity with a horizontal line.
On a v,t graph, a velocity of zero is indicated by a horizontal line showing a constant value of v = 0. This line normally coincides with the time axis.
4. A position, time graph indicates that an object is speeding up or slowing down by getting steeper or less steep.
A v,t graph indicates speeding up and slowing down by rising or falling, that is, by having a non-zero slope.
5. The area under a velocity time graph is equal to the displacement.
1. When on object moves relative to another moving object, the overall, net velocity can be found by vector addition. The equation below is a typical representation of this addition.