Question

In 3-5 sentences, describe how you would develop a computational model of the velocity of a satellite based on the current distance from the earth and the time elapsed. Consider the data set given below:

X (distance from earth) 100 20 15 29 67 5
Y (the time elapsed) 31 44 27 22 36 52
If the velocity, V, is given by V=2πXY
𝑉
=
2
𝜋
𝑋
𝑌
, find V. Test your code using the trinket tool.

Answer 1

To develop a computational model of the velocity of a satellite based on its distance from Earth and the elapsed time, I would first input the given datasets for distance (X) and time (Y) into a program. Then, I would use the formula \( V = 2\pi XY \) to compute the velocity for each corresponding pair of X and Y values. I would implement this using a loop or a vectorized operation, collecting the computed velocities into a list or array. Finally, I would test the code using the Trinket tool to ensure correct calculations and outputs.

Here's a sample Python code snippet that could be run in Trinket:

```python
import math

X = [100, 20, 15, 29, 67, 5]
Y = [31, 44, 27, 22, 36, 52]
V = [2 * math.pi * x * y for x, y in zip(X, Y)]

print(V)
```

This code calculates the velocity for each distance and time pair and prints the results.