Analyse straight-line motion through displacement, velocity and acceleration
The signed displacement of a moving point is modelled below. Time is measured in hours, and displacement is measured in kilometres
\[x(t)=t^{2} - 6\,t - 6\]
The stated time domain is shown below
\[t\in\left[0,5\right]\]
The table uses \(t=0\) and \(t=\frac{3}{2}\)
| \(t\) | \(x(t)\) | \(v(t)\) | \(a(t)\) |
|---|---|---|---|
| \(0\) | enter value | enter value | enter value |
| \(\frac{3}{2}\) | enter value | enter value | enter value |