1. A car moving at 60 miles per hour along a straight road passes under a weather balloon which is rising vertically at 20 miles per hour. If the balloon is 1 mile high when the car is directly beneath it, how fast is the distance between the car and the balloon increasing 1 minute later? (a) (2 points) Draw a diagram that can help set up the problem. Label the diagram with variables where appropriate. (b) (2 points) Using the variables defined in your diagram, identify the known rate(s) of change, and the rate of change you are being asked to find. (c) (2 points) Write an equation that relates the relevant variables in this problem. (d) (4 points) Differentiate the equation written above with respect to t, and solve for the requested rate of change.