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

Sat Sep 8 05:17:01 2007 UTC (5 years, 8 months ago) by sh002i
File size: 1339 byte(s)
Added tags for Rogawski's "Calculus: Early Transcendentals".

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
28            "PGbasicmacros.pl",
29            "PGchoicemacros.pl",
31            "PGauxiliaryFunctions.pl");
32
33 TEXT( beginproblem() );
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
49 END_TEXT
50
51 ANS(num_cmp(\$ans));
52
53 ENDDOCUMENT();        # This should be the last executable line in the problem.