Walker, Halliday & Resnick — Force and Motion-I: Problem 28

28 A car that weighs \(1.30 \times 10^4 \text{ N}\) is initially moving at \(35 \text{ km/h}\) when the brakes are applied and the car is brought to a stop in \(15 \text{ m}\). Assuming the force that stops the car is constant, find (a) the magnitude of that force and (b) the time required for the change in speed. If the initial speed is doubled, and the car experiences the same force during the braking, by what factors are (c) the stopping distance and (d) the stopping time multiplied? (There could be a lesson here about the danger of driving at high speeds.)