Question

derive the equation of motion analytically
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Answer 1

In case of uniform acceleration, there are three equations of motion which are also known as the laws of constant acceleration. Hence, these equations are used to derive the components like displacement(s), velocity (initial and final), time(t) and acceleration(a). Therefore they can only be applied when acceleration is constant and motion is a straight line. The three equations are,

v = u + at

v² = u² + 2as

s = ut + ½at²

where, s = displacement; u = initial velocity; v = final velocity; a = acceleration; t = time of motion. These equations are referred as SUVAT equations where SUVAT stands for displacement (s), initial velocity (u), final velocity (v), acceleration (a) and time (T).

These quantities only have a magnitude(size) and no directions. Examples of such quantities are speed, mass, distance, volume and many others.

• Graphical Representation of Motion
• Graphical Representation of MotionEquations of Motion
• Graphical Representation of MotionEquations of MotionUniform Circular Motion

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