Problem $1[17$ marks$].$ In $2022,$ Peter hiked the Pacific Crest Trail from Mexico to

Canada. He attempted to record every footstep of the trail using my smartwatch. The

data was gathered using a Garmin Fenix $5$X tracking GPS location and altitude. Please be

aware that the data may not be entirely accurate or complete:

It may require some time to establish a GPS lock, resulting in brief periods where

certain sections may appear to have no data available.

GPS for speed estimation can be noisy, especially when walking.

Human error on my part $-$ sometimes he might forget to restart logging after a break.

In this problem, you can disregard these imperfections and are only required to analyze data

from a single day.

Download the trailGPS.csv file from the Assignment $2$ page on Canvas. You will need

the data in the time, latitude, longitude and elevation columns. Import the data into

MATLAB using the readtable command.

You'll need to tidy up the data before using it$.$ While manual cleaning is an option,

considering the substantial volume of data, you might prefer to perform this task pro$-$

grammatically.

Hint: You will need to convert the time entry from something like $10$:$11$:$39$ to decimal

hours $($or whatever suitable time unit you want to use$).$

Plot a map showing the walking path for that day.

Hint: using webmap in in MATLAB

Plot the $3$D walking trajectory for any $100$ consecutive data points.

Get the approx hiking speed based on the provided data. Write a Matlab script that will

take a GPS log file and extract the instantaneous speed. Also, create a plot depicting the

instantaneous speed versus time.

Hint: The approximate conversion between latitude and longitude are:

latitude: $1$deg$=110\mathrm{.}574km$

Longitude: $1$ deg $=111\mathrm{.}320cos($latitude$)km$