The displacement (in meters) of a particle moving in a straight line is given by [math] where [math] is measured in seconds.

(A)

(i) Find the average velocity over the time interval [3,4].
Average Velocity = meters per second.

(ii) Find the average velocity over the time interval [3.5,4].
Average Velocity = meters per second.

(iii) Find the average velocity over the time interval [4,5].
Average Velocity = meters per second.

(iv) Find the average velocity over the time interval [4,4.5].
Average Velocity = meters per second.

(B) Find the instantaneous velocity when [math].
Instantaneous velocity = meters per second.