Derive the following vector, position – time relation for a body in uniformly
accelerated motion, using calculus method
x = x0 + v0 t + ½at2
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Derivation of the equation by the calculus method:-
we know that,
Acceleration, a=dtdv
or, ∫vu1dv=∫a01dt
or, V−u=at
or,v=u+at
−2
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