Given where a and v are acceleration and velocity vectors o fparticle at any time t.
Integrating (1), [Equation 2]
But v=0 at t=0.
Therefore from (2).
Hence by (2),the required velocity is given by [Equation 3]
Integrating (3), [Equation 4]
But r=0 at t=0. So from (4),
Therefore,by equation (4), the required displacement is given by