A particle P moves in a straight line and passes through a fixed point O so that its velocity, $v$

Question

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.[2] Find the values of t, when the particle returns to O.[4] Find the acceleration of the particle when it first returns to O.[2] Find the average speed during the first 5 seconds.[3]

Accepted Answer

(a)$t-1$ or $4$ (b)$t=2.31$ or $5.19$ (c)a=-0.372 m/s$^2$ (d)1.63 m/s

2025 MSHS PRELIMS P2 Q8

2025 MSHS PRELIMS P2 Q8