Robert Sutherland
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HS2-Physics2: AccelerationÂ
What is Acceleration?
Acceleration is any change in speed, or velocity.
We can express the same idea with mathematics as well ...
Acceleration is equal to v-final minus v-initial over t-final - t-initial
\vec{a} = \frac{\vec{v_f}-\vec{v_i}}{t_f - t_i} = \frac{\Delta \vec{v}}{\Delta t}
Units of Acceleration
When we come across a new equation, a good first step is to check the units.
\vec{a} = \frac{\vec{v_f}-\vec{v_i}}{t_f - t_i} = \frac{\Delta v}{\Delta t}
What units are on both sides of the equation?
\dfrac{m}{s^2}
\dfrac{m}{s} \cdot \dfrac{1}{s} \text{ or } \dfrac{\dfrac{m}{s}}{s}
Meters per second ... per second?
Equations vs. Words.
\vec{a} = \frac{\vec{v_f}-\vec{v_i}}{t_f - t_i} = \frac{\Delta \vec{v}}{\Delta t}
Acceleration is equal to v-final minus v-initial over t-final minus t-initial.
Acceleration is equal delta v over delta t.
Acceleration is equal to the change in velocity over the change in time.
Physics Is An Act of Translation
Our first step in solving a problem in physics is to translate the problem into mathematics.
Translation Changes Your Perspective
It is often the case, that problems that first appear difficult become simple when they're viewed from the right angle.
There is only one correct answer, but there's never one "correct" way to solve a given problem.
HS2-Physics 2:
By Robert Sutherland
