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1 of 8 0-day streak

Analyse straight-line motion through displacement, velocity and acceleration

Question 1 of 8

No calculator

A point moves along a straight line. Time is measured in seconds, and displacement is measured in metres

\[x(t)=-\frac{3}{2}\,t^{2} + 3\,t - 3\]

The stated time domain is shown below

\[t\in\left[0,3\right]\]

The table uses \(t=0\) and \(t=2\)

The table uses m for displacement, m/s for velocity and m/s² for acceleration
\(t\)\(x(t)\)\(v(t)\)\(a(t)\)
\(0\)enter valueenter valueenter value
\(2\)enter valueenter valueenter value
(a)6 marks

Find the velocity and acceleration, then complete the table

(b)1 mark

At \(t=\frac{1}{2}\), which direction is the point moving?

(c)1 mark

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