Linear Motion
Linear motion, also known as 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 |
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\(\large{ \overrightarrow{a} = \frac{ \Delta v }{ \Delta t } }\) | ||
Symbol | English | Metric |
\(\large{ \overrightarrow{a} }\) = linear acceleration | \(\large{\frac{ft}{sec^2}}\) | \(\large{\frac{m}{s^2}}\) |
\(\large{ \Delta v }\) = velocity differential | \(\large{\frac{ft}{sec}}\) | \(\large{\frac{m}{s}}\) |
\(\large{ \Delta t }\) = time differential | \(\large{ sec }\) | \(\large{ s }\) |
Displacement Linear motion formula |
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\(\large{ \overrightarrow{d} = v_i \; t + \frac{1}{2} a\;t^2 }\) | ||
Symbol | English | Metric |
\(\large{ \overrightarrow{d} }\) = linear displacement | \(\large{ ft }\) | \(\large{ m }\) |
\(\large{ v_i }\) = initial velocity | \(\large{\frac{ft}{sec}}\) | \(\large{\frac{m}{s}}\) |
\(\large{ t }\) = time | \(\large{ sec }\) | \(\large{ s }\) |
\(\large{ a }\) = acceleration | \(\large{\frac{ft}{sec^2}}\) | \(\large{\frac{m}{s^2}}\) |
Velocity Linear motion formula |
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\(\large{ \overrightarrow{v_f} = v_i + a\;t }\) | ||
Symbol | English | Metric |
\(\large{ \overrightarrow{v_f} }\) = linear final velocity | \(\large{\frac{ft}{sec}}\) | \(\large{\frac{m}{s}}\) |
\(\large{ v_i }\) = initial velocity | \(\large{\frac{ft}{sec}}\) | \(\large{\frac{m}{s}}\) |
\(\large{ a }\) = acceleration | \(\large{\frac{ft}{sec^2}}\) | \(\large{\frac{m}{s^2}}\) |
\(\large{ t }\) = time | \(\large{ sec }\) | \(\large{ s }\) |
Tags: Motion Equations