A car going at decelerates at a constant to come to a stop.

(a) Fill in the following table showing the velocity of the car every second. Fill in a zero velocity for any time after that at which the car comes to a rest.


(b) When does the car come to a stop?

(c) On a sheet of paper, sketch a graph of velocity against time. On the graph, show an area representing the distance traveled before the car comes to rest. Use the graph to calculate this distance.
distance =

(d) Now find a formula for the velocity of the car as a function of time:
velocity =
and then find the total distance traveled by antidifferentiation.
distance =

You can earn partial credit on this problem.