<p>A particle P moves in a straight line and passes through a fixed point O so that its velocity, \(v\) m/s is given by \(v=t^2-5t+4\) where t is the time in seconds after passing O.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Find the values of t when the particle is instantaneously at rest.<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">Find the values of t, when the particle returns to O.<span class="inline-marks">[4]</span></div></li><li><div class="list-item-paragraph">Find the acceleration of the particle when it first returns to O.<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">Find the average speed during the first 5 seconds.<span class="inline-marks">[3]</span></div></li></ol>

A particle P moves in a straight line and passes through a fixed point O so that its velocity, \(v\) m/s is given by \(v=t^2-5t+4\) where t is the time in seconds after passing O.

Find the values of t when the particle is instantaneously at rest.

Find the values of t, when the particle returns to O.

Find the acceleration of the particle when it first returns to O.

Find the average speed during the first 5 seconds.

2025 MSHS PRELIMS P2 Q8

2025 MSHS PRELIMS P2 Q8