Acceleration and Average Acceleration
المؤلف:
Professor John W. Norbury
المصدر:
ELEMENTARY MECHANICS & THERMODYNAMICS
الجزء والصفحة:
p 49
12-12-2016
2808
Acceleration and Average Acceleration
Again we follow the definitions made for 1-dimension. In 3-dimensions, the average acceleration is defined as
and acceleration (instantaneous acceleration) is defined as
Constant Acceleration Equations In 1-dimension, our basic definitions were
We found that if the acceleration is constant, then from these equations we can prove that
which are known as the 5 constant acceleration equations. In 3-dimensions we had
or
or
These 3 equations are the meaning of the first vector equation 
.
Similarly
or
Similarly
or
and
or
So we see that in 3-dimensions the equations are the same as in 1-dimension except that we have 3 sets of them; one for each dimension. Thus if the 3-dimensional acceleration vector 
is now constant, then ax, ay and az must all be constant. Thus we will have 3 sets of constant acceleration equations, namely
and
and
These 3 sets of constant acceleration equations are easy to remember. They are the same as the old ones in 1-dimension except now they have subscripts for x, y, z.
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