# Motion Graphs - Mrs. Rathburn's Online Classroom Motion Graphs Physics Unit P2: One Dimensional Motion Position-Time Graphs

A motion with constant, positive velocity results in a line of constant and positive slope when plotted as a position-time graph.

Position vs. Time Graphs A motion with changing, positive velocity results in a line of changing and positive slope when

plotted as a position-time graph If the position-time Slope The slope of the line on a positiontime graph reveals useful information about the velocity of the

object. It's often said, "As the slope goes, so Whatever characteristics the velocity has, the goes velocity." slope

willthe exhibit the same (and vice versa). If the velocity is constant, then the slope is

constant (i.e., a straight line). If the velocity is changing, then the slope is changing (i.e., a curved line). If the velocity is positive, then the slope is positive (i.e., moving upwards and to the Check out the slopes!

Slow, Rightward (+) Constant Velocity Fast, Rightward (+) Constant Velocity Negative Velocity? Velocity is negative when the direction changes!! When an object slows down, its just a smaller

magnitude. Slow, Leftward () Constant Velocity Fast, Leftward () Constant Velocity

Position vs. Time at Rest Horizontal line indicates an object is

at rest. Overlapping Graphs Principle of Slope

The principle of slope: This principle states that the slope of the line on a position-time graph is equal to the velocity of the object.

Make sure to pick 2 points Try this! Velocity =?

Answer 4 m/s! Make sure to pick 2 points, the object did

not start at 0. Velocity - Time Graphs constant, positive velocity results in a line of zero slop

Velocity = d/t With changing, positive velocity

results in a diagonal line when plotted as a velocity-time graph. (Acceleration) If the velocity-time data In

conclusion Positive Velocity Zero Acceleration Positive Velocity Positive Acceleration Positive and Negative

Slope Positive Direction Direction Negative

Describe this motion to the person sitting on your left. Describe the motion this graph

represents to a friend or classmate. Position vs. Time Sketches Positive Velocity Constant Velocity

Positive Velocity Changing Velocity (acceleration) Principle of Slope

The slope of the line on a velocity vs. time graph is equal to the acceleration of the object. Acceleration = 10 m/s2