A car going at 28 \ \mathrm{ft/s} decelerates at a
constant 4 \ \mathrm{ft/s^2} 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.

0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |

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

at

**(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.