Analysis:

To find out how much distance the body will cover in 15 seconds, we need to determine the rate at which it is moving. We can do this by calculating the speed of the body.

Calculating Speed:

Speed is defined as the distance covered per unit of time. We can calculate the speed by dividing the distance covered by the time taken. Using the given information, we can calculate the speed of the body as follows:

Speed = Distance / Time

For the first scenario, the body covers 50 meters in 5 seconds:

Speed1 = 50m / 5s
Speed1 = 10 m/s

For the second scenario, the body covers 80 meters in 10 seconds:

Speed2 = 80m / 10s
Speed2 = 8 m/s

Understanding the Relationship:

From the given information, we can observe that the body is slowing down. In the first scenario, its speed is 10 m/s, while in the second scenario, its speed is reduced to 8 m/s. This indicates that the body is decelerating.

Using the Relationship to Determine Distance:

Since we know the speed of the body in both scenarios, we can use the average speed to determine the distance it will cover in 15 seconds. The average speed is calculated by adding the initial speed and final speed and dividing it by 2.

Average Speed = (Speed1 + Speed2) / 2
Average Speed = (10 m/s + 8 m/s) / 2
Average Speed = 18 m/s / 2
Average Speed = 9 m/s

Now that we have the average speed, we can determine the distance covered in 15 seconds using the formula:

Distance = Speed * Time

Distance = 9 m/s * 15 s
Distance = 135 meters

Conclusion:

Therefore, the body will cover a distance of 135 meters in 15 seconds.

110m