[rochester] / trunk / rochester_problib / setDerivatives3WordProblems / s2_7_41.pg Repository: Repository Listing bbplugincoursesdistsnplrochestersystemwww

# View of /trunk/rochester_problib/setDerivatives3WordProblems/s2_7_41.pg

Mon Jun 25 19:20:51 2001 UTC (11 years, 10 months ago) by sam
File size: 1118 byte(s)
added problem library as webwork/ww_prob_lib with revision tag prob-lib-2


    1 ##DESCRIPTION
2 ##KEYWORDS('derivatives', 'velocity', 'trigonometry')
3 ##TYPE('word problem')
5 ##  Find velocity and acceleration
6 ##  of a mass attached to a string given a position
7 ##  trigonometric function
8 ##ENDDESCRIPTION
9
10 DOCUMENT();        # This should be the first executable line in the problem.
11
13 "PG.pl",
14 "PGbasicmacros.pl",
15 "PGchoicemacros.pl",
17 "PGauxiliaryFunctions.pl"
18 );
19
20 TEXT(&beginproblem);
21 $showPartialCorrectAnswers = 1; 22 23$a1 = random(2,5,1);
24 $b1 = random(2,4,1); 25$x1 = random(1,5,1);
26 $deriv1 =$a1 *$b1 * cos($b1*$x1); 27$deriv2 = -$a1 *$b1*$b1 * sin($b1*$x1); 28 29 TEXT(EV2(<<EOT)); 30 A mass attached to a vertical spring has position function 31 given by $$s(t) = a1 \sin ( b1 t )$$ where $$t$$ is 32 measured in seconds and $$s$$ in inches.$BR
33 Find the velocity at time
34 $$t= x1$$. \{ans_rule(20) \} $BR 35 EOT 36 37$ans = $deriv1; 38 &ANS(std_num_cmp($ans));
39 TEXT(EV2(<<EOT));
40 Find the acceleration at time
41 $$t= x1$$. \{ans_rule(20) \}
42 EOT
43
44 $ans =$deriv2;
45 &ANS(std_num_cmp(\$ans));
46 ENDDOCUMENT();        # This should be the last executable line in the problem.