Question

The motion of a particle along straight line describe by the function x =(2t -3)^2. Where x is in meters And' t ' is seconds . find the velocity of a particle

Answer 1

$\large{\mathcal{\blue{Answer}}}$

The motion of the particle along strainght line is given by

$x = (2t - 3) {}^{2}$

$x = 4t {}^{2} + 9 - 12t$

Then the velocity of the particle is

$v = \frac{dx}{dt} = \frac{d(4t {}^{2} + 9 - 12t) } {dt} \\ = (8t - 12)metre \: per \: second$