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1 of 8 0-day streak

Analyse straight-line motion through displacement, velocity and acceleration

Question 1 of 8

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A moving point has the following displacement rule. Time is measured in minutes, and displacement is measured in metres

\[x(t)=\frac{1}{2}\,t^{2} - 4\,t - 6\]

The stated time domain is shown below

\[t\in\left[0,6\right]\]

The table uses \(t=0\) and \(t=5\)

The table uses m for displacement, m/min for velocity and m/min² for acceleration
\(t\)\(x(t)\)\(v(t)\)\(a(t)\)
\(0\)enter valueenter valueenter value
\(5\)enter valueenter valueenter value
(a)6 marks

Find the velocity and acceleration, then complete the table

(b)1 mark

At \(t=5\), which direction is the point moving?

(c)1 mark

Which condition identifies a time when the point is at rest?