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%% Name         : <your name>
%% GT ID        : <your GT email address>
%% Homework     : HW1
%% Course       : CS1371
%% Instructor   : Park, Smith or Stallworth
%% Lecture Time :
%% TA's Name    : <you may not have this yet>
%% Collaboration: <place here one of the following:
%%                 "I worked on the homework assignment alone, using
%%                  only course materials."
%%                 OR
%%                 "I worked on this homework with <give the names of the
%%                  people you worked with>, used solutions or partial
%%                  solutions provided by <name the people or other sources>,
%%                  and referred to <cite any texts, web sites, or other
%%                  materials not provided as course materials for CS 1371.>"
%%
%%   Reference:  Smith text, Section 2 and 3
%%
%%   This homework is due Thursday, January 10th at midnight with a 6 hour grace
%%   period.  Submit your assignment as instructed in class.  If the system
%%   is not operational by the due date, the class announcements page will 
%%   inform you when it is.  We will extend the due date accordingly.  
%%   Do not bring or e-mail your homework to anyone.  
%%
%%   Note: You should NOT use the built-in function "solve" in your
%%   solutions
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%%;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<PROBLEM 1>
%%
%% 1. You throw a ball straight up with an initial speed of 20 m/s. 
%%          [g = 9.81 m/s2]
%%    Write a Matlab script that will compute the following:
%% a. How long it takes for the ball to reach its highest point.  Store
%%    this value in a variable called "peaktime".
%% b. How high the ball rises from the release point.  Store
%%    this value in a variable called "maxheight".
%%
%%  Matlab commands for problem 1 go here:


%%;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<PROBLEM 2>
%%
%% 2. You are constructing a hemispherical dome with an outer radius of 60ft.  The walls 
%%    will be solid concrete 10 inches thick.  Write a script to compute how may cubic 
%%    yards of concrete will be needed.  Store this volume in a variable called "concrete".
%%
%%  Matlab commands for problem 2 go here:



%%;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<PROBLEM 3>
%%
%% 3. A jet aircraft is flying 200ft above a level plain at 800 mph.  Suddenly, 
%% the ground begins to rise at a 5 deg slope.  Write a script to compute how much time 
%% the pilot has to raise the nose before the aircraft strikes the ground,
%% and store the value in a variable called "timeToImpact".  
%%
%%  Hint: Matlab's trigonometric functions take in angle values in Radians.
%%
%%  Matlab commands for problem 3 go here: