6. A particle \(P\) moves in a straight line such that its displacement from a fixed point \(O\) at time \(t \mathrm {~s}\) is \(y\) metres. The graph of \(y\) against \(t\) is as shown.
- Write down the velocity of \(P\) when
- \(t = 1\),
- \(t = 10\).
(2 marks)
- State the total distance travelled by \(P\).
(2 marks) - Write down a formula for \(y\) in terms of \(t\) when \(2 \leq t < 4\).
(3 marks)
\includegraphics[max width=\textwidth, alt={}, center]{88b98fe3-7952-44e4-8a8e-5f6f8813fbcc-2_634_771_1032_1192} - Sketch a velocity-time graph for the motion of \(P\) during the twelve seconds.
- Find the maximum speed of \(P\) during the motion.