Final answer:
The car must travel approximately 133.33 meters to come to a stop when it is traveling at 40 m/s.
Step-by-step explanation:
To find how far the car must travel to come to a stop when it is traveling at 40 m/s, we can use the same acceleration as the car traveling at 20 m/s. Let's assume the car's initial velocity is 40 m/s, final velocity is 0 m/s, and the acceleration is the same as before.
Using the equation v_f^2 = v_i^2 + 2ad, where v_f is the final velocity, v_i is the initial velocity, a is the acceleration, and d is the distance, we can rearrange the equation to solve for d as follows:
d = (v_f^2 - v_i^2) / (2a)
Plugging in the values, we get:
d = (0^2 - 40^2) / (-2a)
Since the acceleration is the same as before, we can substitute the value. Assuming the acceleration is -3 m/s^2 (negative since it's in the opposite direction), we get:
d = (0^2 - 40^2) / (-2(-3))
d = 800 / 6
d = 133.33 m
Therefore, the car must travel approximately 133.33 meters to come to a stop when it is traveling at 40 m/s.