A 13.00 kg particle starts from the origin at time zero. Its velocity as a function of time A given by
v→ = 8t2i^ + 1tj^
where v→ is in meters per second and t is in seconds. (Use the following as necessary: I.)
(a) Find its position as a function of tIme.
(b) Describe its motion qualitatively.
(c) Find its acceleration as a function of time.
(d) Find the net force exerted on the partItle as a function of tme.
(e) Find the net tomue about the origin exerted taint particle as a function of time.