The position of a particle moving along the x-axis varies with time according to x(t) = 5.0t2-4.0t3m. find (a) the displacement, average velocity, average acceleration between 0.0 s and 1.0,

Explanation:

The equation governing the position of the particle moving along x-axis is given as:

we know that the time derivative of position gives us the velocity:

and the time derivative of of velocity gives us the acceleration:

Now, when t = 0

When t=1 s

Hence,

Displacement between the stipulated time:

Velocity between the stipulated time:

Acceleration between the stipulated time:

Here negative sign indicates that the vectors are in negative x direction.