An object moves along a straight line. The position as a function of time is given by the following formula x(t) = 5 m + (2m/s) t – (0.6 m/s2)t^2.

a. Find the object’s initial position, initial velocity, and initial acceleration.
b. At what time will the object come to rest?
c. How long after starting does it take the object to pass the origin?
d. At what time is the object located at a position of +4 m from the origin?
e. Sketch the following graphs: x(t), v(t), and a(t).