Answer with Units

Answer is a number or formula with units

Complete Code

POD for Macro Files

contextUnits.pl

PG problem file

Explanation

DOCUMENT();

loadMacros('PGstandard.pl', 'PGML.pl', 'contextUnits.pl', 'PGcourse.pl');

Preamble

Load the parserNumberWithUnits.pl and parserFormulaWithUnits.pl macros.

Context('Units')->withUnitsFor('length', 'time')->variables->are(t => 'Real');
Context()->assignUnits(t => 's');

$v0 = random(16, 96, 16);

$h  = Formula("(-16 t^2 + $v0 t) ft");
$v  = $h->D('t');
$v1 = $v->eval(t => $v0 / 16);
$a  = $v->D('t');

Setup

First select the “Units” context, allow units for “length” and “time” in the context, and set the variable for functions in the context to be t.

Then, assign the unit “seconds” to the variable t.

Use the differentiation operator ->D('t') to compute the derivated, and the evaluation method ->eval() to evaluate it as a function. All of these will now have the expect units.

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.

    [_]{$v}{15}

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

    [_]{$v1}{15}

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

    [_]{$a}{15}

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

Statement

Give students access to help on entering units and the complete list of units that WeBWorK understands by inserting the result of calling helpLink('units') into the problem text.

BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution

A solution should be provided here.