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%% Name         : 
%% GT Number    : <NOT YOUR SOCIAL SECURITY NUMBER!!!>
%% Homework     : HW1
%% Course       : CS1371
%% Instructor   : <choose from Smith, Rehg, Dellaert, Colestock>
%% Lecture Time : 
%% TA's Name    : <look up your TA on WebWork later, for now: unknown>
%% 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.>"
%%
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%%                             DUE DATE
%%   This assignment is due at 6:00am, Monday January 12th.
%%   To solve these problems, write the Matlab script that computes the
%%   required answers
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%%;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<PROBLEM 1>
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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?

%%;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<PROBLEM 2>
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2. You are constructing a hemispherical dome with radius 50ft.  The
walls will be solid concrete 9” thick.  How may cubic yards of concrete
will be needed?

%%;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<PROBLEM 3>
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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?