<p>A particle travels in a straight line such that at time \(t\) seconds after leaving a point \(A\), which has a displacement of \(2\) metres from a fixed point \(O\), its velocity, \(v\) ms\(^{-1}\) is given by \(v = 3t^2 - 21t + 18\).</p>
<p>Find,</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">the minimum velocity of the particle,</span><span class="inline-marks">[3]</span></div></li><li><div class="list-item-content"><span class="list-item-text">the time(s) at which the particle is instantaneously at rest,</span><span class="inline-marks">[1]</span></div></li><li><div class="list-item-paragraph">the total distance travelled in the first 7 seconds<span class="inline-marks">[6]</span></div></li></ol>

A particle travels in a straight line such that at time \(t\) seconds after leaving a point \(A\), which has a displacement of \(2\) metres from a fixed point \(O\), its velocity, \(v\) ms\(^{-1}\) is given by \(v = 3t^2 - 21t + 18\).

the time(s) at which the particle is instantaneously at rest,

the total distance travelled in the first 7 seconds

2025 AHS PRELIMS P2 Q10

2025 AHS PRELIMS P2 Q10