2) Given the position function () = ^3 6^2 + 5, 0, where t represents time in seconds since the start of the motion of an object,

i) find a function for the velocity and for the acceleration of the object. ii) determine when the object has a velocity of 0. iii) determine when the acceleration of the object has the opposite sign to the velocity (this means the object is decelerating) iv) draw a rectilinear graph of the motion of the object. Include the starting position, and

the time and position of any changes of direction. v) determine, to the nearest tenth of a second, the total amount of time during which the object

is moving towards the origin (position 0).