
drvheadline[0] = ["Step","Reason","<span class='equation'><b>1.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</b> <i>v</i><sub class='subsup'>f</sub> = <i>v</i><sub class='subsup'>i</sub> + <i>at</i></span>",
"<span class='equation'>first motion equation</span>",
"<span class='equation'><b>2.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</b> <i>v</i><sub class='subsup'>f</sub> = <i>v</i><sub class='subsup'>i</sub> + (1.21 m/s<sup class='subsup'>2</sup>)(3.14 s)</span>",
"<span class='equation'>substitute values</span>",
"<span class='equation'><b>3.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</b> <i>v</i><sub class='subsup'>f</sub> = <i>v</i><sub class='subsup'>i</sub> + 3.80 m/s</span>",
"<span class='equation'>multiply</span>",
"<span class='equation'><b>4.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</b> &#916;<i>x</i> = &frac12;(<i>v</i><sub class='subsup'>i</sub> + <i>v</i><sub class='subsup'>f</sub>)<i>t</i></span>",
"<span class='equation'>second motion equation</span>",
"<span class='equation'><b>5.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</b> 11.8 m = &frac12;(<i>v</i><sub class='subsup'>i</sub> + <i>v</i><sub class='subsup'>f</sub>)(3.14 s)</span>",
"<span class='equation'>substitute known values</span>",
"<span class='equation'><b>6.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</b> 7.52 m/s = <i>v</i><sub class='subsup'>i</sub> + <i>v</i><sub class='subsup'>f</sub></span>",
"<span class='equation'>multiply by 2, divide by 3.14&nbsp;s</span>",
"<span class='equation'><b>7.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</b> 7.52 m/s = <i>v</i><sub class='subsup'>i</sub> + <i>v</i><sub class='subsup'>i</sub> + 3.80 m/s</span>",
"<span class='equation'>substitute equation 3 into equation 6</span>",
"<span class='equation'><b>8.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</b> <i>v</i><sub class='subsup'>i</sub> = 1.86 m/s</span>",
"<span class='equation'>solve for <i>v</i><sub class='subsup'>i</sub></span>",
"<span class='equation'><b>9.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</b> <i>v</i><sub class='subsup'>f</sub> = <i>v</i><sub class='subsup'>i</sub> + 3.80 m/s = 5.66 m/s</span>",
"<span class='equation'>from equation 3</span>"];

drvNarration[0]=["We start with a motion equation that contains the two values we want to find.<br></span>",
"We substitute the known values into the equation.<br></span>",
"We multiply the known values.<br></span>",
"Now we write another motion equation with the velocities we want to find.<br></span>",
"We substitute the known values for displacement and elapsed time.<br></span>",
"We simplify the equation by multiplying and dividing out the factors on the right side. This gives us a second equation with the two velocities.<br></span>",
"We substitute the expression for <i>v</i><sub class='subsup'>f</sub> from equation 3 into equation 6&#8230;<br></span>",
"&#8230;and solve for <i>v</i><sub class='subsup'>i</sub>.<br></span>",
"Then we use equation 3 to find <i>v</i><sub class='subsup'>f</sub>.</span>"];

drvStepBreak[0]=[3,3];

drvExplanation[0]=["We start with a motion equation containing the two velocities we want to find, and substitute known values, and simplify.",
"Now we use a second motion equation containing the two velocities, substitute known values, and simplify. This gives us two equations with the two unknowns we want to find.",
"Now we solve the two equations."]

