Suppose a car is traveling at +24.1 m/s, and the driver sees a traffic light turn red. After 0.366 s has elapsed (the reaction time), the driver applies the brakes, and the car decelerates at 8.00 m/s2. What is the stopping distance of the car, as measured from the point where the driver first notices the red light?

D = Do + (V^2-Vo^2)/2a.

D = 24.1m/s*0.366s + (0-(24.1)^2/-16 =
8.82 + 36.3 = 45.1 m.

To find the stopping distance of the car, we need to consider the time it takes for the driver to react and apply the brakes, as well as the time it takes for the car to come to a complete stop.

Let's break down the problem step by step:

1. Calculate the distance traveled during the reaction time:
The car is traveling at a constant velocity of +24.1 m/s for 0.366 seconds, so the distance traveled during this time can be calculated using the formula:
distance = velocity * time
distance = 24.1 m/s * 0.366 s

2. Calculate the distance traveled while decelerating:
The car decelerates at a rate of 8.00 m/s². To find the distance traveled while decelerating, we can use the equation of motion:
distance = initial velocity * time + (1/2) * acceleration * time²
In this case, the initial velocity is 24.1 m/s, the time is unknown, and the acceleration is -8.00 m/s² (negative because the car is decelerating).

3. Find the time needed for the car to stop:
The car comes to a complete stop when its final velocity is 0 m/s. Using the equation of motion:
final velocity = initial velocity + acceleration * time
0 m/s = 24.1 m/s + (-8.00 m/s²) * time
Solve this equation to find the time it takes for the car to stop.

4. Total stopping distance:
Add the distances obtained from step 1 and step 2 to get the total stopping distance.

By following these steps, you can find the stopping distance of the car, starting from the point where the driver first notices the red light.