Question

Two cars are moving towards an intersection. One car is 190 meters north of the intersection and moving towards the intersection at 19 m/s, while the other is 110 meters west of the intersection and moving away from the intersection at 11 m/s. 5 seconds later, the cars are getting Select an answer v at answer rounded to 3 decimal places)

Answer 1

In this scenario, the cars are moving towards or away from an intersection. By using the concept of relative velocity, we can determine the final distance between the cars after a certain time. The final distance between the cars is approximately 156 meters.

Step-by-step explanation:

In this situation, we can use the concept of relative velocity to determine the final velocity of the cars. The first car is moving towards the intersection at 19 m/s, while the second car is moving away from the intersection at 11 m/s. After 5 seconds, the first car would have traveled a distance of 95 meters towards the intersection (19 m/s x 5 s), and the second car would have traveled a distance of 55 meters away from the intersection (11 m/s x 5 s).

To calculate the final distance between the cars, we can use the Pythagorean theorem. The horizontal distance between the cars is 190 meters - 55 meters = 135 meters, and the vertical distance between the cars is 95 meters. Using the Pythagorean theorem, we find that the final distance between the cars is approximately 156 meters.

Therefore, after 5 seconds, the cars are getting approximately 156 meters apart.