A particle moves in a straight line so that, $t$ seconds after passing through a fixed point $O$

Question

A particle moves in a straight line so that, $t$ seconds after passing through a fixed point $O$, its velocity, $v$ m/s, is given by $v = k \cos 2t$, where $k$ is a constant. When $t = \frac{\pi}{12}$, the acceleration is $-6$ m/s. Find the value of $k$.[2] The particle is first at rest at point $P$. Find the value of $t$ when the particle is at point $P$.[2] Find the distance travelled by the particle from O to P.[3]

Accepted Answer

(a)k = 6 (b)$t=\frac{\pi}{4}$ (c)3 m

2025 MGS PRELIMS P2 Q7

2025 MGS PRELIMS P2 Q7