Motion Graph Analysis
<p>The solution involves analyzing the given velocity vs. time graph to determine the acceleration. The slope of the velocity vs. time graph, which is a straight line, represents the acceleration.</p>
<p>To find the slope (\(a\)) of the velocity vs. time graph, which is a straight line, we use the formula:</p>
<p>\[ a = \frac{\Delta v}{\Delta t} \]</p>
<p>Inspecting the graph, we can estimate the change in velocity (\(\Delta v\)) from 0 to approximately 3000 m/s and the change in time (\(\Delta t\)) from 0 to 5 s.</p>
<p>\[ a \approx \frac{3000 \text{ m/s}}{5 \text{ s}} \]</p>
<p>\[ a \approx 600 \text{ m/s}^2 \]</p>
<p>The slope of the velocity vs. time graph is approximately 600 m/s², and this value represents the acceleration.</p>
