Kinematics

A particle moves so that its position as a function of time is

r(t) = Ai + Bt2j + Ctk
where A = 1.0 m, B = 4.0 m/s2, and C = 1.0 m/s. 

Write ex­pressions for

(a) its velocity and

(b) its acceleration as func­tions of time.

(c) What is the shape of the particle's trajectory?