Interpreting Motion Graphs
Position vs. time graphs The slope of the graph is equal to the velocity If the d/t graph is a straight line (no curve) then the velocity is constant.
Position vs. time graphs A line with a positive slope indicates positive velocity and the object is moving away from the reference point A line with a negative slope indicates negative velocity and the object is moving towards the reference point.
Position vs. time graphs If the line is horizontal (no slope) then the object is stationary (no velocity)
Position vs. time graphs If the object is accelerating, the velocity is changing d/t graph will no longer be a straight line, but will have a changing slope, resulting in a curve.
Position vs. time graphs Concave “Up like a cup”…the acceleration is positive
Position vs. time graphs Concave “Down like a frown”…the acceleration is negative
Position vs. time graphs BEWARE: velocity and acceleration can have different signs: when they do the object is slowing down!
Velocity vs. time graphs The slope is equal to the acceleration. Because we only consider constant acceleration, v/t graphs will always be straight lines.
Velocity vs. time graphs Positive velocity indicates the object is moving away from the reference point
Velocity vs. time graphs Negative velocity indicates the object is moving toward the reference point
Velocity vs. time graphs When the slope is zero: horizontal line velocity is constant acceleration is zero
Velocity vs. time graphs When the slope of the graph is positive: the acceleration is positive
Velocity vs. time graphs When the slope of the graph is negative: the acceleration is negative
Velocity vs. time graphs We cannot determine where an object’s position from a v/t graph, only its change in position.