The Takeaway Practice A car is able to stop with an acceleration of -3.00 m/s. Justify the mathematical routine used to calculate the dis- rance required to stop from a velocity of 100.0 km/h by choosing the correct answer below. A. 16.7 m because the average velocity is 50 km/h, the change in velocity divided by the acceleration is the time, and the time multiplied by the average velocity is the distance B. 64.4 m because the average velocity is 13.9 m/s, the aver- age velocity divided by the acceleration is the time, and the time multiplied by the average velocity is the distance C. 129 m because the average velocity is 13.9 m/s, the change in velocity divided by the acceleration is the time, and the time multiplied by the average velocity is the distance D. 257 m because the initial velocity is 27.8 m/s, the initial velocity divided by the acceleration is the time, and the time multiplied by the initial velocity is the distance 2. The Bugatti Veyron is able to accelerate at 12.3 m/s, Cal- culate the time required to reach 100.0 km/h from rest if both maximum acceleration and velocity are given; justify the mathematical routine used. A. 8.13 s because change in velocity divided by accelera- tion is time B. 4.07 s because average speed divided by acceleration is time C. 2.26 s because change in velocity divided by accelera- tion is time D. 1.13 s because average speed divided by acceleration is time 3. An object is moving at a constant velocity of - 10 m/s when something happens, at time t = 0 s, to accelerate the object with a constant acceleration of 10 m/s2. a. Express the displacement as a function of time after t = 0s. b. Calculate the time when the displacement of the object relative to its position at t = 0 s is equal to 15 m using (i) the quadratic equation and (ii) factoring the expres- sion from part (a). 4. Two cars emerge side by side from the end of a tunnel on a four-lane road. Car A is traveling with a speed of 17 m/s and has an acceleration of 1.9 m/s2. Car B has a speed of 11 m/s and has an acceleration of 3.8 m/s. a. What is the displacement of each car relative to the end of the tunnel 1 second before, at t = -1 s? b. Which car is passing and which car is being passed as they come out of the tunnel? c. The two cars will later have the same displacement if they both continue with the acceleration after leaving