The position of a particle moving along the x axis varies in time according to the expression \(x = 3t^2\), where x is in meters and t is in seconds. Evaluate its position (a) at t = 3.00 s and (b) at \(3.00 s+\Delta t \). (c) Evaluate the limit of \( \Delta x/\Delta t\) as \(\Delta t\) approaches zero, to find the velocity at t =3.00 s.

6. The position of a particle moving along the x axis varies in time according to the expression \(x = 3t^2\), where x is in meters and t is in seconds. Evaluate its position (a) at t = 3.00 s and (b) at \(3.00 s+\Delta t \). (c) Evaluate the limit of \( \Delta x/\Delta t\)  as \(\Delta t\) approaches zero, to find the velocity at t =3.00 s.