Question

Using the data provided in the graph and the table, interpolate to find the potential energy (U) at a height (H) of 2.5 meters and extrapolate to find the potential energy at a height of 4.5 meters.

At 2.5 meters, the potential energy would be 45 joules, and at 4.5 meters, it would be 85 joules.


At 2.5 meters, the potential energy would be 50 joules, and at 4.5 meters, it would be 90 joules.


At 2.5 meters, the potential energy would be 55 joules, and at 4.5 meters, it would be 95 joules.


At 2.5 meters, the potential energy would be 70 joules, and at 4.5 meters, it would be 100 joules.

Answer 1

To interpolate the potential energy at 2.5 meters, draw a line between the points (2, 40) and (3, 60). To extrapolate the potential energy at 4.5 meters, extend the line to the desired height. The estimated values are 45 joules at 2.5 meters and 85 joules at 4.5 meters.

Step-by-step explanation:

To interpolate the potential energy (U) at a height (H) of 2.5 meters, we can use the graph and table provided. From the graph, we can see that the potential energy increases linearly with height. By drawing a line connecting the points (2, 40) and (3, 60), we can estimate the potential energy at a height of 2.5 meters to be approximately 45 joules.

To extrapolate the potential energy at a height of 4.5 meters, we can extend the same line we drew earlier. By extending the line to a height of 4.5 meters, we can estimate the potential energy to be approximately 85 joules.

Therefore, at a height of 2.5 meters, the potential energy would be 45 joules, and at 4.5 meters, it would be 85 joules.

Answer 2

Could you send the graph?