In this question time \(t\) is in seconds and displacement \(s\) is in metres. For \(t \geqslant 0\), a particle moves on the positive \(x\)-axis. At time \(t\) the acceleration of the particle is \(2 t-9\). At time \(t=7\) the velocity of the particle is 4. (a) Find the times when the velocity of the particle is 0. (b) At time \(t=12\), the displacement of the particle from the origin \(O\) is 150. (i) Find an expression for the displacement of the particle at time \(t\). (ii) Find the distance travelled by the particle in the first 6 seconds.

2026 - F/M - 0606/22 | Q10

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In this question time \(t\) is in seconds and displacemen...