Thank you for visiting A person driving a car at 47 0 km h approaches an intersection just as the traffic light turns yellow The yellow light remains on. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The car will be 75.8336 m from the intersection when the light turns red.
Explanation:
To find the distance from the intersection when the light turns red, we need to calculate the time it takes for the car to stop or pass through the intersection.
First, let's convert the initial speed of the car from km/h to m/s. We know that 1 km/h is equal to 0.2778 m/s, so the initial speed of the car is:
47.0 km/h * 0.2778 m/s = 13.0556 m/s
Next, we can calculate the time it takes for the car to reach its maximum speed. We are given the acceleration of the car and the change in velocity:
Acceleration = (final velocity - initial velocity) / time
Substituting the given values:
Acceleration = (67.0 km/h - 47.0 km/h) / 5.80 s = 3.4483 m/s^2
Now, we can calculate the time it takes for the car to reach its maximum speed using the equation:
Acceleration = (final velocity - initial velocity) / time
Substituting the given values:
3.4483 m/s^2 = (67.0 km/h - 47.0 km/h) / time
Solving for time:
time = (67.0 km/h - 47.0 km/h) / 3.4483 m/s^2 = 5.80 s
Now, we can calculate the distance traveled by the car during this time period using the equation of motion:
distance = initial velocity * time + 0.5 * acceleration * time^2
Substituting the given values:
distance = 13.0556 m/s * 5.80 s + 0.5 * 3.4483 m/s^2 * (5.80 s)^2 = 75.8336 m
Therefore, the car will be 75.8336 m from the intersection when the light turns red.
Learn more about distance of the car from the intersection when the light turns red here:
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Rewritten by : Jeany
Final answer:
The car will be 75.8336 m from the intersection when the light turns red.
Explanation:
To find the distance from the intersection when the light turns red, we need to calculate the time it takes for the car to stop or pass through the intersection.
First, let's convert the initial speed of the car from km/h to m/s. We know that 1 km/h is equal to 0.2778 m/s, so the initial speed of the car is:
47.0 km/h * 0.2778 m/s = 13.0556 m/s
Next, we can calculate the time it takes for the car to reach its maximum speed. We are given the acceleration of the car and the change in velocity:
Acceleration = (final velocity - initial velocity) / time
Substituting the given values:
Acceleration = (67.0 km/h - 47.0 km/h) / 5.80 s = 3.4483 m/s^2
Now, we can calculate the time it takes for the car to reach its maximum speed using the equation:
Acceleration = (final velocity - initial velocity) / time
Substituting the given values:
3.4483 m/s^2 = (67.0 km/h - 47.0 km/h) / time
Solving for time:
time = (67.0 km/h - 47.0 km/h) / 3.4483 m/s^2 = 5.80 s
Now, we can calculate the distance traveled by the car during this time period using the equation of motion:
distance = initial velocity * time + 0.5 * acceleration * time^2
Substituting the given values:
distance = 13.0556 m/s * 5.80 s + 0.5 * 3.4483 m/s^2 * (5.80 s)^2 = 75.8336 m
Therefore, the car will be 75.8336 m from the intersection when the light turns red.
Learn more about distance of the car from the intersection when the light turns red here:
https://brainly.com/question/33608130
#SPJ14
