Question - Motion Graph Analysis

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.

To find the slope (\(a\)) of the velocity vs. time graph, which is a straight line, we use the formula:

\[ a = \frac{\Delta v}{\Delta t} \]

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.

\[ a \approx \frac{3000 \text{ m/s}}{5 \text{ s}} \]

\[ a \approx 600 \text{ m/s}^2 \]

The slope of the velocity vs. time graph is approximately 600 m/s², and this value represents the acceleration.