# Question #8e21a

##### 1 Answer

#### Answer:

#### Explanation:

Constant speed of Car A

Let us consider **Car B** first.

It enters the acceleration lane at a speed

It accelerates uniformly and enters the main traffic lane after traveling

Using the following kinematic equation to obtain acceleration

Dividing both sides by

To calculate the final speed at the time of entering the main traffic we use the following kinematic equation

It then continues to accelerate at the same rate until it reaches a speed of

Time taken to reach top speed is calculated from the kinematic equation

During this period of acceleration average speed

Distance traveled in the main traffic lane

Now **Car A**

Distance traveled during this time period

As the car A was