The velocity of a car traveling along a straight line is given by

$=($

$)$

$,$ where

is in seconds. Initially,

$=$

when

$=0.$

Determine the position

of the car when

$=$

$.$

Determine the time t when the car's velocity changes from positive to negative velocity or negative to positive velocity.

Determine the total distance travelled during the time interval

$=0$

to

$=$

$.$

Determine the acceleration

at

$=$

$.$

Round your final answers to $3$ significant digits$/$figures$.$