The acceleration of a particle along a straight line is defined by a = (2t-9m/s2 where t is in seconds. when t=9 determine the particle position distance velocity

A is 2nd derivative of position. And velocity is 1st derivative of position.

If 2nd derivative is 2t - 9

Then 1st derivative = t^2 - 9t which is velocity.

And position is 1/3 * t^3 - 9/2 * t^2

Put 9 for t's.