A spring$-$powered toy car is released from rest. It steadily accelerates forward for $2\mathrm{.}0$ seconds and then steadily slows to a stop over the next $6\mathrm{.}0$ seconds. The total distance traveled during the $8\mathrm{.}0$ seconds of motion is $12$ m $.$

a$.$ Sketch the position$-$time graph and label it with the information given above.

b$.$ Sketch the velocity$-$time graph and label it with the information given above.

c$.$ Calculate the acceleration the car has during the first $1\mathrm{.}5$ seconds of its motion.

d$.$ Calculate the average velocity during the entire $8\mathrm{.}0$ seconds.