- Mechanics
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- Kinematics
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- Basic motions

It is a movement in which the scalar speed is constant and different from zero \(v(t) = v_0 = \mbox{constant} \ne 0 \). The position as a fuction of time, for this movement, is: $$ s(t) = s_0 + v_0 t.$$

The figure below illustrates the graph \(s \times t\) of this movement, which, in this case, is always a straight line, that increases with time if \(v_0 \gt 0\) and decreases with time if \(v_0 \lt 0\).

Uniformly varying motion is the movement in which scalar acceleration is constant and nonzero, \(a(t)=\mbox{constant} \ne 0\).

The functions for this type of movement are:

- The position as a fuction of time
- $$ s(t) = s_0 + v_0 t + a \frac{t^2}{2}. $$
- The speed as a fuction of time
- $$ v(t) = v_0 + a t.$$
- The Torricelli's equation
- $$ v^2 = v_0^2 + 2 a \Delta s, $$ and, in this case, \(v\) is related to \(\Delta s\).

The graphics for this movement and their interpretations are presented below.

- Space \(\times\) time \((a > 0)\)
- Space \(\times\) time \((a < 0)\)
- Speed \(\times\) time \((a > 0)\)