View of /trunk/NationalProblemLibrary/Rochester/setVecFunction3Motion/ur_vc_4_8.pg

    1 ## DESCRIPTION
    2 ## Calculus
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('vector' 'acceleration' 'multivariable' 'velocity' 'projectile')
    6 ## Tagged by tda2d
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Vector Functions')
   10 ## DBsection('Motion in Space: Velocity and Acceleration')
   11 ## Date('')
   12 ## Author('')
   13 ## Institution('Rochester')
   14 ## TitleText1('')
   15 ## EditionText1('')
   16 ## AuthorText1('')
   17 ## Section1('')
   18 ## Problem1('')
   19 ## TitleText2('Calculus: Early Transcendentals')
   20 ## EditionText2('1')
   21 ## AuthorText2('Rogawski')
   22 ## Section2('13.5')
   23 ## Problem2('19')
   24 
   25 DOCUMENT();        # This should be the first executable line in the problem.
   26 
   27 loadMacros("PG.pl",
   28            "PGbasicmacros.pl",
   29            "PGchoicemacros.pl",
   30            "PGanswermacros.pl",
   31            "PGauxiliaryFunctions.pl");
   32 
   33 TEXT( beginproblem() );
   34 $showPartialCorrectAnswers = 1;
   35 
   36 $a = random( 5, 10, 1 );
   37 $b = random( 15, 20, 1 );
   38 $ten_a = 10 * $a;
   39 $ten_b = 10 * $b;
   40 
   41 $ans = .5 * arcsin( (9.8 * $b) / (10 * $a**2) );
   42 
   43 BEGIN_TEXT
   44 A gun has a muzzle speed of $ten_a meters per second. What angle of elevation should
   45 be used to hit an object $ten_b meters away? Neglect air resistance and use \(g
   46 = 9.8 m / sec^{2} \) as the acceleration of gravity.
   47  $PAR
   48 \{ans_rule(65)\} radians
   49 END_TEXT
   50 
   51 ANS(num_cmp($ans));
   52 
   53 ENDDOCUMENT();        # This should be the last executable line in the problem.