A particle, travelling in a straight line, has velocity, $v$ cm/s, given by $v = 3t^2 - pt + 4$,

Question

A particle, travelling in a straight line, has velocity, $v$ cm/s, given by $v = 3t^2 - pt + 4$, where $p$ is a constant and $t$ seconds is the time after passing through a fixed point $O$. The particle comes to instantaneous rest when $t = 2$. Show that $p = 8$.[1] Find the range of values of $t$ during which the particle moves in the positive direction.[3] Find the minimum velocity of the particle.[3] Calculate the total distance travelled by the particle for the first 3 seconds.[3]

Accepted Answer

(ii)$0 \leq t 2$ (iii)$-1.33$ cm/s (iv)$5\frac{10}{27}$

2025 SST PRELIMS P1 Q11

2025 SST PRELIMS P1 Q11