a car traveling 41.6 m/s is 190 m behind a truck traveling 19.4 m/s. how long will it take the car to reach the truck?
When the car catches up, it would have traveled 190 m. farther than the truck:
41.6t = 19.4t + 190
Solve for t.
8.56
To find out how long it will take for the car to reach the truck, we need to determine the relative distance between them and divide it by the relative velocity of the car with respect to the truck.
The relative distance can be calculated by subtracting the initial distance of 190 meters from the final distance of 0 meters (when the car reaches the truck). So, the relative distance is 190 meters.
The relative velocity of the car with respect to the truck is the difference in their speeds. Therefore, we subtract the truck's speed from the car's speed: 41.6 m/s - 19.4 m/s = 22.2 m/s.
Now, we can divide the relative distance by the relative velocity to find the time it takes for the car to reach the truck:
Time = Distance / Velocity
Time = 190 meters / 22.2 m/s
Time ≈ 8.56 seconds
So, it will take approximately 8.56 seconds for the car to reach the truck.