(a) The velocity-time graph for a particle \(P\) is shown by the two straight lines in the diagram.

(i) Find the deceleration of \(P\) for \(5\leq t\leq10\).

(ii) Write down the value of \(t\) when the speed of \(P\) is zero.

(iii) Find the distance \(P\) has travelled for \(0\leq t\leq10\).

(b) A particle \(Q\) has a displacement of \(x\) m from a fixed point \(O\), \(t\) s after leaving \(O\). The velocity, \(v\text{ m s}^{-1}\), of \(Q\) at time \(t\) s is given by

\(v=6e^{2t}+1.\)

(i) Find an expression for \(x\) in terms of \(t\).

(ii) Find the value of \(t\) when the acceleration of \(Q\) is \(24\text{ m s}^{-2}\).