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# How do you calculate velocity from a graph?

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## Related Questions

###### Asked in Math and Arithmetic, Physics, Kinematics

### Calculate distance from a velocity time graph?

The area between the graph and the x-axis is the distance moved.
If the velocity is constant the v vs t graph is a straight
horizontal line. The shape of the area under the graph is a
rectangle.
For constant velocity, distance = V * time. Time is the x-axis
and velocity is the y-axis.
If the object is accelerating, the velocity is increasing at a
constant rate. The graph is a line whose slope equals the
acceleration. The shape of the graph is a triangle. The area under
the graph is ½ * base * height. The base is time, and the height is
the velocity.
If the initial velocity is 0, the average velocity is final
velocity ÷ 2.
Distance = average velocity * time.
Distance = (final velocity ÷ 2) * time, time is on the x-axis,
and velocity is on the y-axis.
(final velocity ÷ 2) * time = ½ time * final velocity
...½ base * height = ½ time * final velocity
Area under graph = distance moved
Most velocity graphs are horizontal lines or sloping lines.

###### Asked in Physics

### How do you find acceleration using mass and velocity?

Acceleration is change in velocity per unit time
(derivative of velocity with respect to time). If you have a graph
or chart of velocity values vs time, then you can calculate (change
in velocity) / (change in time). This is the slope of the graph at
a specific point in time.
Mass, along with acceleration determines force.

###### Asked in Math and Arithmetic, Physics, Kinematics

### Is a velocity graph the same thing as an acceleration graph?

No.
Velocity is displacement divided by time.
Acceleration is velocity divided by time.
However both graphs are related! If you graph the AREA under the
slope of the acceleration graph vs. time, this will be a velocity
graph. If you graph the SLOPE of the velocity graph vs. time, this
will be an acceleration graph.
When you learn calculus (unless you already know it) you will
learn how you can switch between the two.

###### Asked in Math and Arithmetic, Physics, Kinematics

### Graphical representation of motion?

Position-Time Graph
You can graph motion on a position vs time graph. On a position
vs time graph, position is on the y-axis and time is on the x-axis.
If the velocity is constant, the graph will be a straight line and
the slope is average velocity. If the motion is accelerating, the
graph will be a curved line.
Velocity-Time Graph
You can also graph motion on a Velocity-Time graph. On a
velocity vs time graph, velocity is on the y-axis, time is on the
x-axis. If the graph is a straight line, velocity is constant and
the slope is average acceleration. Also, on a velocity vs time
graph, the area under the line is displacement.
Refer to the related link for illustrations of the different
graphs of motion and their meanings.

###### Asked in Math and Arithmetic, Physics, Kinematics

### When velocity is changing what is happening to the slope on a position versus time graph?

The slope of the position/time graph is the magnitude of
velocity, i.e. speed.
It doesn't tell you anything about the direction of
velocity. If the direction of
velocity is changing, the slope of the graph doesn't necessarily
change.
If the magnitude of velocity (speed) changes, then the slope of
the graph changes.
If speeding up, the slope of the graph increases, and the graph
curves upward.
If slowing down, the slope of the graph decreases, and the graph
curves downward.

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