Derivation of Third Equation of Motion
Derivation of Third Equation of Motion
Derivation Of Third Equation Of Motion: It is also known as Equation for Position-Velocity Relation (Third Equation)
The distance travelled by a uniformly accelerated body in time t is given by the area of the space enclosed between the velocity-time graph with time axis. So, distance travelled, s = area of the trapezium OABC But OA = u, BD = v and OD = t Substituting the above values, we get
From equation v = u + at, we get
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Substituting the values of t in Eq. (v), we get
Hence, the third equation of motion is derived.
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