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%% Name         :
%% GT Number    : <your GT email address>
%% Homework     : HW1
%% Course       : CS1371
%% Instructor   : Rehg or Smith
%% 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:  Kaplan ch 1 - 2
%%
%%   This homework is due Thursday, Jan. 13th at 11:59 PM with a 6 hour grace
%%   period.
%%
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%% ****IMPORTANT NOTES FOR THIS HOMEWORK ****
%%
%%	-Keep the file name as hw1.m
%%	-To execute this script, type hw1 at the MATLAB
%%	 command prompt and hit enter.
%%	-This script must execute without error
%%	 (ie.  you should not see any error
%%	  messages which appear in red.  If you do, you need
%%	  to fix these errors before submitting your homework)
%%	-A SUBMISSION THAT CAUSES AN ERROR WHEN EXECUTING
%%	 WILL RECEIVE A ZERO


%%;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<PROBLEM 1>
%%
%% 1. You throw a ball straight up in the air with an initial speed of 25 m/s. 
%%          [g = 9.8 m/s2]
%% a. How long does it take to reach the highest point?
%% b. How high does the ball rise from the release point?
%%   Science:
%%
%%   Application:
%%
%%  Matlab commands for problem 1 go here:


%%;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<PROBLEM 2>
%%
%% 2. You are constructing a hemispherical dome with an outer radius of 50ft.  The walls 
%%    will be solid concrete 9” thick.  How may cubic yards of concrete will be needed?
%%   Science:
%%
%%   Application:
%%
%%  Matlab commands for problem 2 go here:



%%;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<PROBLEM 3>
%%
%% 3. A jet aircraft is flying 100ft above a level plain at 600 mph.  Suddenly, 
%% the ground begins to rise at a 4 deg slope.  How much time does the pilot have 
%% to raise the nose before the aircraft strikes the ground?
%%   Science:
%%
%%   Application:
%%
%%  Matlab commands for problem 3 go here: