Let's break down the problem into its components:

(a) How long does it take for the car to stop?

The problem states that the car travels 150 km at a constant speed of 75 km/h. To find the time it takes to travel this distance, use the formula:

$\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

Substituting the given values:

$\text{Time} = \frac{150 \text{ km}}{75 \text{ km/h}} = 2 \text{ hours}$

(b) What is the total distance traveled during braking?

The problem doesn't provide explicit details about the braking process, such as the car's deceleration or the time it takes to stop. Without this information, it's impossible to calculate the total distance traveled during braking directly.

If you provide additional details, such as the deceleration rate or braking time, I can help you calculate this distance.

Would you like to know more details or have any questions? Here are some related questions to consider:

1. How do you calculate the stopping distance if the deceleration rate is known?
2. What is the formula to calculate the braking distance using initial velocity and deceleration?
3. How does the initial speed of the car affect the total stopping distance?
4. What factors influence a car's stopping distance?
5. How does braking distance vary with different road conditions?

Tip: When analyzing motion problems, carefully consider all phases of the motion, such as acceleration, constant speed, and deceleration, to ensure you capture the full scenario.