The position function is .
(a)
\Find velocity .
Apply derivative on each side with respect to .
The velocity is .
Find acceleration .
The acceleration is .
(b)
\Find the open -interval.
Equate .
and
and
.
The open -intervals are
and
.
(c)
\Find value of .
Equate .
Find velocity of the particle when the acceleration is zero.
\Substitute in
.
The velocity of the particle when the acceleration is zero is .
(a) Velocity : and acceleration:
.
(b) Open -intervals :
and
.
(c) The velocity of the particle when the acceleration is zero is .