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

**r**(t)
=*
A***i*** *+ *B*t^{2}**j**
+ *C*t**k**

where *A
*= 1.0 m, *B *= 4.0 m/s^{2},
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?