Lesson 11: The Other Formulas
There are several other formulas that are very useful when the acceleration is uniform.
●
Do not use these equations if the acceleration is changing! The acceleration must be constant.
●
These other formulas are based on combinations of the basic velocity and acceleration formulas,
as well as interpreting graphs.
●
Although the formulas are shown here in a particular numbered order, you do
not
need to
identify them this way.
Formula 1
The first formula is based on knowing information about displacement, final and initial velocities, and
time.
d
=
v
f
v
i
2
t
●
At first this may seem to be an odd acceleration formula, since acceleration does not appear in
the formula as a variable.
●
Notice that there are two velocities, v
f
and v
i
, so we know that there must be
acceleration.
●
Only use this formula when you know for certain that the object has been going through
a constant acceleration, even though “a” doesn't appear in the formula.
Example 1
:
Determine
how far a vehicle moved if it started at 12 m/s and accelerated up to 47 m/s in
a time of 34s.
d
=
v
f
v
i
2
t
d
=
47
12
2
34
d
=
1.0e3
m
Formula 2
We will do problems where we have information about displacement, initial velocity, time, and
acceleration. The formula for these situations is.
..
d = v
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 Spring '09
 Knott
 Physics, Acceleration, Velocity

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