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# Motion Graphs Notes

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```Motion Graphs
Distance-Time Graphs

The shape of a distance-time graph gives information about an
object’s speed.

Q:What can you say about the speed depicted in each graph
below?
A
no speed
constant speed
B
a is higher than b
acceleration
Determining Speed Graphically

A distance-time plot can be used to determine speed using
slope.

Q: Use the graph to determine the speed of a hiker during
segments P-R and R-S.
Determining Velocity Graphically

To graph velocity, a
displacement-time graph is
required. If motion is in one
direction only, the displacementtime graph is identical to the
speed-time graph.

Q:What conclusions can you draw about the motion of a car from
the graph above?
Displacement
Determining Velocity Graphically
Instantaneous Velocity

When the shape of the displacement-time graph is not
linear (that is, when velocity is not constant), we may find
it useful to calculate an instantaneous velocity.

This is done by drawing a line tangent to the curve at a
given point and calculating its slope.
Instantaneous Velocity

Q: Calculate the instantaneous velocity of the object whose
motion is graphed below at t = 1 s and t = 3 s.
Self-check: do your results match the shape of the graph?
```