A car traveling at 67 ft/sec decelerates at the constant rate of 23 ft/sec² when the brakes are applied.

a. Find the velocity v(t) of the car t seconds after the brakes are applied. Then find its distance s(t) from the point where the brakes are applied.

b. Use the graphing utility of your calculator to sketch the graphs of v(t) and s(t) on the same screen (use [0, 5]1 by [0, 200]10).

c. Use TRACE and ZOOM to determine when the car comes to a complete stop and how far it travels in that time. How fast is the car traveling when it has traveled 45 feet?