Answer with Units

Answer is a number or formula with units

Complete Code

POD for Macro Files

PG problem file

Explanation

DOCUMENT();

loadMacros(
    'PGstandard.pl',            'PGML.pl',
    'parserNumberWithUnits.pl', 'parserFormulaWithUnits.pl',
    'PGcourse.pl'
);

Preamble

We load parserNumberWithUnits.pl and parserFormulaWithUnits.pl.

Context()->variables->are(t => 'Real');

$h  = Formula('-16 t^2 + 16');
$v  = $h->D('t');
$v1 = $v->eval(t => 1);
$a  = $v->D('t');

$ans1 = FormulaWithUnits("$v", 'ft/s');
$ans2 = NumberWithUnits("$v1", 'ft/s');
$ans3 = FormulaWithUnits("$a", 'ft/s^2');

Setup

We use the differentiation operator ->D('t') and the evaluation method ->eval() to construct the derivative and evaluate it as a function. If we were writing several questions like this with different height functions, using the differentiation and evaluation methods would really speed up the writing.

BEGIN_PGML
Suppose the height of a falling object, in feet above the ground, is given
by [`h(t) = [$h]`] for [`t \geq 0`], where time is measured in seconds.

a. What is the velocity of the object?  Include units in your answer.

    [_]{$ans1}{15}

b. What is the velocity of the object when it hits the ground?  Include units in
your answer.

    [_]{$ans2}{15}

c. What is the acceleration of the object?  Include units in your answer.

    [_]{$ans3}{15}

Note: use units in all answers. [@ helpLink('units') @]*
END_PGML

Statement

Don’t forget to use helpLink('units') so your students will have access to the complete list of units that WeBWorK understands.

BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution

A solution should be provided here.