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How to find average velocity using two points in time and the slope of the line connecting them, as well as how to find instantaneous velocity by finding the slope of the tangent line at a specific point in time. It also covers how to find acceleration by finding the slope of a line segment where the velocity is changing.
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Slope of this line is the average velocity
Time (t)
Time (t)
Average velocities are always described with 2 points in time. Example: “Find the
average velocity from 4 to 6 seconds.”
t 1 t 2
velocity
The average velocity is found by:
Time (t)
t 1 t 2
t 1 t 2
The average velocity is found by:
νAVG =
νFINAL −νINITIAL 2 From a v vs t graph:
Vinitial
VfinalVfinal
The average velocity is found by
calculating the “AREA” between the curve and the axis from t1 to t2.
Time (t)
Time (t)
INSTANTANEOUS velocities are always described with 1 point in time. Example: “Find the
velocity at 6 seconds.”
t
The instantaneous velocity is the slope at that point in time.
(If you are given a curve find the slope of a tangent line.)
Time (t)
t
Find the slope here.
Read the graph’s vertical axis at time t.