Linear & Circular motion formulae

This article explores the basic formulae of linear & circular motion formulae.

Linear motion (SUVAT) equations

Let us look at linear motion first. Below is a list of linear motion equations that we shall explore in this section. These formulae are valid when the acceleration and vector motion is constant.
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You must be familiar with the following quantities when working with linear motion.

Velocity

Velocity is the rate of change of position. The SI unit for velocity is the metre per second (ms^-1). Velocity is a vector physical quantity where it is defined by both magnitude and direction. The scalar absolute value or (magnitude) of vector is called “speed” where speed is also measured in ms^-1. Note speed is a scalar quantity (not vector) for example;
“2 metres per second”
…whereas velocity (a vector) would be’
“2 metres per second east”
If there is a change in speed, direction, or both then the object has a changing velocity and undergoing acceleration. The average velocity v of an object moving through displacement (∆s) during a time interval (∆t) is described by the formula;
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The final velocity v of an object which starts with velocity u and then accelerates at constant acceleration a for a period of time ∆t can be given by;
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We can use Evangelista Torricelli’s equation to find the final velocity of an object moving with a constant acceleration without knowing the time interval (∆t). The equation is;
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