Velocity Versus Time Plot

The figure below shows a plot of velocity versus time for a particle moving with constant acceleration \(a_c\). The particle has velocity \(v_0\) at time \(t_0\). In the time elapsed between \(t_0\) and a later time \(t\) (\(t > t_0\)), the particle is displaced \(\Delta x\).

Part 1

Use this plot to derive an expression for \(\Delta x\) in terms \(a_c\), \(v_0\), \(t_0\), and \(t\).

Note that it may not be necessary to use every variable. Use the following table as a reference for using each variable:

\(Variable\)	Use
\(a_c\)	a_c
\(v_0\)	v_0
\(t_0\)	t_0
\(t\)	t

Answer Section

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.