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 , find V. Test your code using the trinket tool. Trinket (4 points)

Answer 1

To develop a computational model of the velocity of a satellite based on its current distance from Earth and the time elapsed, I would first gather the input data for distance (X) and elapsed time (Y) as arrays or lists. I would define a function to calculate the velocity (V) for each pair of values using the formula \( V = 2\pi XY \). After calculating the velocities for all the distance-time pairs, I would output the results in a format that allows easy interpretation. Finally, I would ensure to test the implemented code using the Trinket tool to verify its correctness with the provided dataset.

Here’s an example code snippet for this in Python, which can be tested in Trinket:

import math

# Given data
X = [100, 20, 15, 29, 67, 5]
Y = [31, 44, 27, 22, 36, 52]

# Function to calculate velocities
def calculate_velocity(X, Y):
    velocities = []
    for x, y in zip(X, Y):
        V = 2 * math.pi * x * y
        velocities.append(V)
    return velocities

# Calculate and print velocities
velocities = calculate_velocity(X, Y)
print(velocities)

To test the above code, you can input it into the Trinket tool, and it should produce a list of calculated velocities for the given dataset.