Motion Analysis Using Graphs: Position, Velocity, and Acceleration, Slides of Engineering Physics

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Physics for Engineers: Vectors

and Kinematics - Part III On the

Analysis of Motion by Graphs

Graph Analysis There are several graphs used to describe the motion of a particle or a system of particles, but these usually involve a few physical quantities related to each other.

Graph Analysis Velocity and Acceleration are quantities dependent on time. A change in this... …over a specified time interval.. …will result to this.

Graph Analysis Of course, we can continue the trend! Position Velocity Acceleration Jerk Snap/Jounce Crackle Pop

Graph Analysis Position vs. Time Graph Time (s) Total distance (cm) Average Speed vs. Time Graph Time (s) Average Speed (cm/dot)

Acceleration vs. Time Graph Time (s) Acceleration (cm/dots 2 ) Graph Analysis

Let’s put some scale (Motion from -10 meters to 10 meters) And include the negative x-axis

Start with Position vs. Time Graph Let’s say that the red dot will stay at x = 2 for the whole time. What would be the x vs. t plot of this?

Start with Position vs. Time Graph Somehow, for us to visualize this plot, we can change the orientation of diagram above, and plot it against the graph side by side!

We can now see a lot of plots through this way, so that it will make more

This is the position-time graph (x – t graph) Time axis Position axis (x-axis)

Let’s start from the origin, and let the object move from x 0 = 0 to x = 2 for 30 s. Time

Time Take note that the slope, which is the velocity, is positive, and the red dot is moving further towards the

Here, the slope is negative. It means that the red dot is moving towards the –x-axis. Time