# Position vs time graph velocity and acceleration relationship

### What are position vs. time graphs? (article) | Khan Academy

You should recall that the three (or four) equations presented in that section were Compare the displacement-time equation for constant velocity with the classic As an exercise, let's calculate the acceleration of this object from its graph. Adjust the Initial Position and the shape of the Velocity vs. Time graph by sliding the points up or down. Watch how the graphs of Position vs. Time and. To see why, consider the slope of the position vs. time graph shown below: . So, curvature in a graph means the object is accelerating, changing velocity/slope.

This lessening of a negative velocity also corresponds to positive acceleration. The case of a concave down position versus time graph is analogous.

## What are velocity vs. time graphs?

The position versus time for a system experiencing constant negative acceleration is shown below. Again, the vertex is a point with zero velocity. This time, however, points to the right of the vertex have negative slope that is growing steeper as time goes on, and points to the left of the vertex have positive slope that is lessening.

Each of these cases correspond to negative acceleration. Deceleration It is important to discuss one problem with the specialized vocabulary of physics. So far, we have introduced three different aspects of motion. Each one can be discussed in terms of a vector concept magnitude and direction or in terms of a scalar concept magnitude only. For instance, we discussed displacement, a vector, and distance, a scalar.

For motion in one direction, distance is the magnitude of displacement. We discussed velocity, a vector, and speed, a scalar. If we are considering instantaneous velocity, then speed is the magnitude of velocity.

### Graphs of Motion – The Physics Hypertextbook

Our last quantity, acceleration, can also be discussed in terms of a vector acceleration or simply the magnitude, but for acceleration we have no special term for the magnitude.

The vector is called "the acceleration" and the magnitude is "the magnitude of the acceleration".

This can result in confusion. This problem is exacerbated by the fact that in everyday language, we often use the terms distance, speed and acceleration. What does this graph represent?

A mote of dust? About all we can say is that this object was moving at first, slowed to a stop, reversed direction, stopped again, and then resumed moving in the direction it started with whatever direction that was.

Negative slope does not automatically mean driving backward, or walking left, or falling down. The choice of signs is always arbitrary.

About all we can say in general, is that when the slope is negative, the object is traveling in the negative direction. On a displacement-time graph… positive slope implies motion in the positive direction. There is something about a line graph that makes people think they're looking at the path of an object.

### What are velocity vs. time graphs? (article) | Khan Academy

Don't think like this. Don't look at these graphs and think of them as a picture of a moving object. Instead, think of them as the record of an object's velocity. In these graphs, higher means faster not farther.

These particular graphs are all horizontal. The initial velocity of each object is the same as the final velocity is the same as every velocity in between.

**Displacement Velocity Acceleration Time Graphs - Slope & Area - Physics - Distance, Speed, Position**

The velocity of each of these objects is constant during this ten second interval. In comparison, when the curve on a velocity-time graph is straight but not horizontal, the velocity is changing.