## 2.3 Position vs. Time Graphs – Physics

The following science standards will be covered in this section of the curriculum: (4) Science concepts. (3) The meaning of slope in position vs. time graphs.

The student understands and applies the laws governing motion in a variety of situations. Graphs not only contain numerical information, but they also reveal relationships between physical quantities. In this section, we will look at graphs of position over time. Figure 2.10 shows a straight-line graph with the equation y equals mx b.

In this activity, you will release a ball down a ramp and graph the ball’s displacement vs. time. The steepness of the line (slope) is a measure of the speed, and the direction of the slope is the direction of motion. Assign different people to the roles of experimenter, timer, and recorder.

## What is the slope of a velocity time graph?

A motion like the one shown above demonstrates an important principle: the slope of a line on a velocity-time graph equals the object’s acceleration; this principle can be applied to any velocity-time graph to determine the numerical value of the acceleration.

## What is the slope of a position vs time graph?

The slope of a line on a position-time graph is equal to the velocity of the object; if the object is moving at 4 m/s, the line’s slope will be 4 m/s; if the object is moving at -8 m/s, the line’s slope will be -8 m/s.

## What does the slope of position-time graph gives?

The object’s speed is determined by the slope of the position-time graph.

## How do we find speed?

Speed is a measurement of how fast something or someone is moving; if you know the distance traveled and the time it took, you can calculate the average speed of an object using the formula speed = distance time.

## What is slope of graph?

Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope = riserun Slope =

## Is a speed time graph?

Speed-time graphs represent the motion of a particle accelerating from a speed of u at time t to a speed of v at time t, with speed always plotted on the vertical axis and time always plotted on the horizontal.

## What is types of graph?

Graphs and Charts of Various Types

- Area Chart.
- Dot Graph or Plot.
- Scatter Plot.
- Bubble Chart.
- Bar Chart/Graph.
- Pie Chart.
- Line Graph or Chart.
- Histogram Chart.

## When two curves coincide the two objects have the same?

Straight lines indicate constant velocity, while curved lines indicate acceleration. An object undergoing constant acceleration traces a portion of a parabola.