Linear Motion

Tags:
Motion

Linear motion, also called rectilinear motion, refers to the motion of an object in a straight line with a constant velocity or changing velocity. In other words, the object moves in a single direction without any rotation or angular movement. Examples of linear motion include a train moving along a straight track, a car moving in a straight line on a highway, or a ball thrown in a straight line. Linear motion can be described mathematically using equations of motion, which relate the displacement, velocity, and acceleration of the object.

Acceleration Linear Motion Formula
$\overrightarrow{a} \;=\; \Delta v \;/\; \Delta t$ (Acceleration Linear Motion) $\Delta v \;=\; \overrightarrow{a} \; \Delta t$ $\Delta t \;=\; \Delta v \;/\; \overrightarrow{a}$
Symbol	English	Metric
$\overrightarrow{a}$ = Linear Acceleration	$ft\;/\;sec^2$	$m\;/\;s^2$
$\Delta v$ = Velocity Differential	$ft\;/\;sec$	$m\;/\;s$
$\Delta t$ = Time Differential	$sec$	$s$

Displacement Linear Motion Formula
$\overrightarrow{d} \;=\; v_i \; t + \frac{1}{2} a\;t^2$ (Displacement Linear Motion) $v_i \;=\; ( \overrightarrow{d} \;/\; t ) - \frac{ 1 }{ 2 } \; a \; t$ $t \;=\; \sqrt{ 2 \; \left( \overrightarrow{d} - v_i \; t \right) \;/\; a }$ $a \;=\; 2 \; \left( \overrightarrow{d} - v_i \; t \right) \;/\; t^2$
Symbol	English	Metric
$\overrightarrow{d}$ = Linear Displacement	$ft$	$m$
$v_i$ = Initial Velocity	$ft\;/\;sec$	$m\;/\;s$
$t$ = Time	$sec$	$s$
$a$ = Acceleration	$ft\;/\;sec^2$	$m\;/\;s^2$

Velocity Linear Motion Formula
$\overrightarrow{v_f} \;=\; v_i + a \; t$ (Velocity Linear Motion) $v_i \;=\; \overrightarrow{v_f} - a \; t$ $a \;=\; \overrightarrow{v_f} - v_i \;/\; t$ $t \;=\; \overrightarrow{v_f} - v_i \;/\; a$
Symbol	English	Metric
$\overrightarrow{v_f}$ = Linear Final Velocity	$ft\;/\;sec$	$m\;/\;s$
$v_i$ = Initial Velocity	$ft\;/\;sec$	$m\;/\;s$
$a$ = Acceleration	$ft\;/\;sec^2$	$m\;/\;s^2$
$t$ = Time	$sec$	$s$

Linear Motion

Acceleration Linear Motion Formula

Displacement Linear Motion Formula

Velocity Linear Motion Formula

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