a) A car is traveling at 100 km/h when the brakes are fully applied, producing a constant deceleration of 10 m/s^2. What is the distance traveled before the car comes to a full stop? (b) A second car is traveling behind the car in part (a) at the same speed. Assume that the distance from the front of the second car to the rear of the first car is 5 m and that both cars produce the same constant deceleration when fully applying the brakes. The second driver will try to stop if the first driver does. Assume that the second driver has a reaction time of 0.68 seconds. (i) Will the second car hit the first car if the driver in the first car fully applies the brakes? If so, find how long after the first car starts breaking the collision occurs and determine the speed of each vehicle at that time. (ii) [1p] Under the given conditions, what is the minimum following distance the second driver should keep to avoid a rear-end collision?

a) A car is traveling at 100 km/h when the brakes are fully applied, producing a constant deceleration of 10 m/s^2. What is the distance traveled before the car comes to a full stop? (b) A second car is traveling behind the car in part (a) at the same speed. Assume that the distance from the front of the second car to the rear of the first car is 5 m and that both cars produce the same constant deceleration when fully applying the brakes. The second driver will try to stop if the first driver does. Assume that the second driver has a reaction time of 0.68 seconds. (i) Will the second car hit the first car if the driver in the first car fully applies the brakes? If so, find how long after the first car starts breaking the collision occurs and determine the speed of each vehicle at that time. (ii) [1p] Under the given conditions, what is the minimum following distance the second driver should keep to avoid a rear-end collision?