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<p><strong><em>Students will complete the following questions to practice the skills they have learned in this lesson.</em></strong></p>
<ol class="os-raise-noindent">
<li>The height of a diver above the water is given by \(h(t)=-5t^2+10t+3\), where \(t\) is time measured in seconds and \(h(t)\) is measured in meters. <strong>Select two</strong> statements that are true about the situation. </li>
</ol>
<ul>
<li> The diver begins 5 meters above the water. </li>
<li> The diver begins 3 meters above the water. </li>
<li> The function has 1 zero that makes sense in this situation. </li>
<li> The function has 2 zeros that make sense in this situation. </li>
<li> The graph that represents \(h\) starts at the origin and curves upward. </li>
<li> The diver begins at the same height as the water level. </li>
</ul>
<p><strong>Answer: </strong>The diver begins 3 meters above the water. The function has 1 zero that makes sense in this situation.</p>
<ol class="os-raise-noindent" start="2">
<li>The height of a baseball, in feet, is modeled by the function \(h\) given by the equation \(h(t)=3+60t-16t^2\). The graph of the function is shown.</li>
</ol>
<p><img alt="A curve on a graph, origin O, with grid. Horizontal axis, time, seconds, scale 0 to 8, by 1’s. Vertical axis, height, feet, scale 0 to 200, by 20’s. A curve passes through the points 0 comma 3, 2 comma 59, and 3 comma 36." height="213" src="https://k12.openstax.org/contents/raise/resources/38d50f4f8131fcd398fe6ccc32e9162233f8e5c5" width="315"></p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" type="a">
<li> About when does the baseball reach its maximum height? Round to the nearest second. </li>
</ol>
</ol>
<p><strong>Answer: </strong>2</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li> About how high is the maximum height of the baseball? Round to the nearest ten. </li>
</ol>
</ol>
<p><strong>Answer:</strong> 60</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="3" type="a">
<li> When does the baseball hit the ground? Round to the nearest second. </li>
</ol>
</ol>
<p><strong>Answer:</strong> 4</p>
<ol class="os-raise-noindent" start="3">
<li>Two rocks are launched straight up in the air. The height of Rock A is given by the function \(f\), where \(f(t)=4+30t-16t^2\). The height of Rock B is given by \(g\), where \(g(t)=5+20t-16t^2\). In both functions, \(t\) is time measured in seconds and height is measured in feet.</li>
</ol>
<p>The following is a graph of the functions. Use the graph to answer the questions a–c.</p>
<p><img height="268" src="https://k12.openstax.org/contents/raise/resources/f80174aede0833222b5c9b332dec4092d4db5bbe" width="279"></p>
<ul>
</ul>
<ol class="os-raise-noindent" type="a">
<li> Which graph is the height of Rock A, \(f(t)=4+30t-16t^2\)?
<ul>
<li> Red Graph </li>
<li> Green Graph </li>
</ul>
</li>
</ol>
<p><strong>Answer:</strong> Red Graph</p>
<ul>
</ul>
<ol class="os-raise-noindent" start="2" type="a">
<li> Which graph is the height of Rock B, \(g(t)=5+20t-16t^2\)?
<ul>
<li> Red Graph </li>
<li> Green Graph </li>
</ul>
</li>
</ol>
<p><strong>Answer:</strong> Green Graph</p>
<ul>
</ul>
<ol class="os-raise-noindent" start="3" type="a">
<li> Determine which rock hits the ground first.
<ul>
<li> Rock A </li>
<li> Rock B </li>
</ul>
</li>
</ol>
<p><strong>Answer:</strong> Rock B hits the ground first. The graph for Rock B (\(g(t)=5+20t-16t^2 function\)) crosses the \(x\)-axis at about 1.5, which means it hits the ground about 1.5 seconds after launch. The graph for Rock A \((f(t)=4+30t-16t^2 function\)) crosses the \(x\)-axis at about 2, which means it hits the ground about 2 seconds after launch.</p>
<ol class="os-raise-noindent" start="4">
<li>Each expression represents an object’s distance from the ground, in meters, as a function of time, \(t\), in seconds.</li>
</ol>
<p>Object A: \(-5t^2+25t+50\)</p>
<p>Object B: \(-5t^2+50t+25\)</p>
<ul>
</ul>
<ol class="os-raise-noindent" type="a">
<li> Which object was launched with the greater vertical speed?
<ul>
<li> Object A </li>
<li> Object B </li>
</ul>
</li>
</ol>
<p><strong>Answer:</strong> Object B</p>
<ul>
</ul>
<ol class="os-raise-noindent" start="2" type="a">
<li> Which object was launched from the greater height?
<ul>
<li> Object A </li>
<li> Object B </li>
</ul>
</li>
</ol>
<p><strong>Answer: </strong>Object A</p>