<p>A particle, \(P\), starts moving in a straight line with a velocity of \(8\) m/s at a displacement of \(3\) m from a fixed point \(O\). The velocity, \(v\) m/s of the particle \(t\) seconds after moving is given by \(v = 5 \cos t + 2 \sin t + c\).</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find the value of \(c\).</span><span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">Find the initial acceleration of the particle.<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">By explaining with relevant working, show the particle changed its direction of motion during the 3rd second.<span class="inline-marks">[3]</span></div></li><li><div class="list-item-paragraph">Find displacement of P from O at \(t=6\)<span class="inline-marks">[3]</span></div></li></ol>

A particle, \(P\), starts moving in a straight line with a velocity of \(8\) m/s at a displacement of \(3\) m from a fixed point \(O\). The velocity, \(v\) m/s of the particle \(t\) seconds after moving is given by \(v = 5 \cos t + 2 \sin t + c\).

Find the initial acceleration of the particle.

By explaining with relevant working, show the particle changed its direction of motion during the 3rd second.

2025 CGSS PRELIMS P2 Q6

2025 CGSS PRELIMS P2 Q6