$[5]$ A driver is speeding down the road in a fancy new car when the car's radar system warns them of an obstacle $120$ m ahead. The driver hits the brakes and starts to slow down, and spots a skunk in the road up ahead. The "black box" in the car records the speed every $2$ seconds, giving the following data.

$\backslash$table$[[$time since brakes applied $($s$),0,2,4,6,8,10],[$speed $(\frac{m}{s}),32,24,14,6,3,0]]$

$($a$)$ Use a Riemann sum to determine a maximum and minimum for the distance that the car has travelled during these $10$ seconds. You may assume the speed is decreasing throughout.

$($b$)$ What is the best estimate that you can give of the distance travelled by the car in this period?

$($c$)$ If the car was $120$ m from the skunk when the brakes were applied, do you have enough data to determine whether the car hits the skunk? Explain.