A particle is moving along a straight line. The displacement of the particle from O at time t seconds is s metres where s = 2t^3 – 12t^2 + 7t. Find an expression for the velocity of the particle at time t seconds.

To find the velocity function of a particle when given its displacement function, you must differentiate the given function. v = 6t^2 - 24t + 7 .Similarly, to get the displacement function from the velocity function, you integrate the velocity function (and use given conditions to find the integration constant). In addition, to find the acceleration function, you differetiate the velocity function.d -> v -> a [differentiation].a -> v -> d [integration].