Data, Analytics, & Troubleshooting Unit Test 22 of 2522 of 25 Items 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 , find V. Test your code using the trinket tool. Trinket (4 points) Short Answer Rubric (4 points) Points Awarded Criteria 4 The answer is very clear. The answer is fully supported by details. There may be a few errors in grammar, usage, or mechanics. Errors do not interfere with meaning. 3 The answer is mostly clear. The answer is supported by mostly relevant details. There are a few errors in grammar, usage, or mechanics. Errors do not interfere with meaning. 2 The answer is somewhat clear. Details are weak or not related. There are some errors in grammar, usage, and mechanics. Errors interfere with meaning. 1 The answer is not clear. There are few or no supporting details. There are many errors in grammar, usage, and mechanics. Errors interfere with meaning. 0 The question is not answered. Skip to navigation page 1 of 1

Answer 1

To develop a computational model of the satellite's velocity based on the distance from the Earth and the time elapsed, I would create a function that takes two lists as inputs—one for distances (X) and one for time (Y). The function would then compute the velocity (V) using the formula \( V = 2 \pi X Y \), iterating through each pair of values in the lists. Finally, I would test the implementation using the Trinket tool to ensure the calculations are correct and the output is as expected.

Now, let’s calculate the velocity for the given data points:

import math

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

# Function to compute velocity
def compute_velocity(distances, time_elapsed):
    velocities = []
    for x, y in zip(distances, time_elapsed):
        v = 2 * math.pi * x * y
        velocities.append(v)
    return velocities

# Calculate velocities
velocities = compute_velocity(distances, time_elapsed)
print(velocities)

This code snippet defines the function and calculates the velocities based on the provided distances and time values. You can run this code in the Trinket tool for validation.