In emergency braking, a certain car requires \(7.0 \mathrm{~m}\) to come to a stop from an initial speed of \(10 \mathrm{~m} / \mathrm{s}\). Use an argument based on work done on the car to determine the braking distance required if the car's initial speed is \(30 \mathrm{~m} / \mathrm{s}\).