7 Feather Drop Experiment

Now that they are on the moon, one of the astronauts makes a measurement of the Lunar gravity by dropping

a feather from shoulder height, saving the data in feather.csv. This time the equation of motion includes

acceleration due to gravity

ફેવર

S = 80 + ut +

Write a program that will

1. Load the time, position, and uncertainty data from the file feather.csv

2. Predict the position of the feather above the Lunar surface as a function of time given the initial

position so, initial speed u, and constant acceleration a.

3. Fit the model to the data to find the optimal (i.e. best) parameters.

4. Print out the parameters fit by your model, including their uncertainties and units.

5. Plot the data including errorbars, and a prediction made by your model function using the best

parameters.

It is often helpful to provide curve fit with an initial guess of the parameters. Assume that the astronaut is

between 1.5m and 2.0m tall, and Lunar gravity is around 1/7th of Earth's gravity.

The code your write to answer this question will be a good starting point for the code your write

for all experiments in this course that involve fitting a model to data to derive a parameter

value./n