The minimum stopping distance for a car traveling at a speed of \(30 \mathrm{~m} / \mathrm{s}\) is \(60 \mathrm{~m}\), including the distance traveled during the driver's reaction time of \(0.50 \mathrm{~s}\).

a. Draw a position-versus-time graph for the motion of the car. Assume the car is at \(x_{\mathrm{i}}=0 \mathrm{~m}\) when the driver first sees the emergency situation ahead that calls for a rapid halt.

b. What is the minimum stopping distance for the same car traveling at a speed of \(40 \mathrm{~m} / \mathrm{s}\) ?