A car is driving at 88 feet per second (60 miles per hour) when the driver applies the brakes. We can model the speed of the car as a function of time (t) with the function v defined by v(t) = V7744 - 1720t. The speed is measured in feet per second, and time is measured in seconds elapsed since the driver started braking. 1. The formula defining v gives a good model for the speed of the car until it stops (i.e. until the speed reaches 0). According to the model, how long does it take for the car to stop? Show your work. 2. Use Desmos to graph the function v. Use the wrench button in the upper-right corner of your Desmos window to adjust the ranges for the x and y variables. Your horizontal scale should run roughly from 0 to the time when the car stops. Choose your vertical scale so that there is not too much empty space at the top or bottom of the graph. Include your graph with your homework submission on Blackboard. 3. Describe what the graph shows you about how the car slows down. (This graph is fairly realistic, given the way that brakes work, dissipating the energy of the motion of the car as heat.)