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This covers the title's content and is based for UWaterloo's Physics 111 program. The dots with two on top and one on the bottom mean since and the opposite is therefore.
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Time
the interval over which change occurs
v (with bar on top) = average velocity
∆x = change in displacement
∆t = change in time
0 = initial
f = final

if acceleration is constant and ≠ 0, then eventually, velocity changes
instant velocity cannot represent this ∵ ∆t is too small
it does affect velocity’s sign
the change in displacement’s sign, determines the velocity’s sign
ex. if the displacement is negative, then velocity is negative
