View of /trunk/NationalProblemLibrary/Rochester/setIntegrals0Theory/S05.01.AreaDistance.PTP08.pg

    1 ## DESCRIPTION
    2 ## Calculus
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('calculus','antiderivative')
    6 ## Tagged by cmd6a 5/26/06
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Applications of Differentiation')
   10 ## DBsection('Antiderivatives')
   11 ## Date('')
   12 ## Author('')
   13 ## Institution('OSU')
   14 ## TitleText1('')
   15 ## EditionText1('')
   16 ## AuthorText1('')
   17 ## Section1('')
   18 ## Problem1('')
   19 
   20 ## Original: /Library/OSU/high_school_apcalc/dcrev1/prob4.pg
   21 
   22 
   23 
   24 DOCUMENT();
   25 
   26 loadMacros(
   27 "PGbasicmacros.pl",
   28 "PGchoicemacros.pl",
   29 "PGanswermacros.pl",
   30 "PGauxiliaryFunctions.pl"
   31 );
   32 
   33 TEXT(beginproblem());
   34 $showPartialCorrectAnswers = 1;
   35 $a = random(2,6,1);
   36 $b = random($a+1,9,1);
   37 $c = random(2,7,1);
   38 $lin = $c*($b + $a);
   39 $const = $a*$b*$c;
   40 
   41 $ans1 = $a;
   42 $ans2 = $lin - 2*$c*$a;
   43 
   44 BEGIN_TEXT
   45 You are driving along a country road when you suddenly notice a log
   46 in the road ahead of you and immediately apply your brakes. You travel
   47 a distance of \(s(t) = $lin t - $c t^2\) feet in \(t\) seconds after you
   48 hit the brakes.$PAR
   49 The log was $const feet ahead of you when you noticed it, which unfortunately
   50 wasn't soon enough.$BR
   51 At what time did you hit the log? \{ans_rule(20)\}$BR
   52 How fast were you going when you hit it? \{ans_rule(20)\}$BR
   53 Don't forget to enter the correct \{ helpLink('units') \}.
   54 
   55 
   56 END_TEXT
   57 
   58 ANS(num_cmp("$ans1", units => 's'));
   59 ANS(num_cmp("$ans2", units => 'ft/s'));
   60 
   61 
   62 ENDDOCUMENT();