A particle $P$ moves in a straight line so that its displacement, $s$ metres, from a fixed point

Question

A particle $P$ moves in a straight line so that its displacement, $s$ metres, from a fixed point $O$ is given by $s = 12t^2 - t^4$, where $t$ seconds is the amount of time after leaving $O$. Find The value of $s$ where the particle $P$ is instantaneously at rest apart from the start point The distance travelled by $P$ after $2$ seconds The velocity of $P$ when the acceleration is $-0.05ms^{-2}$

Accepted Answer

(a) $36\text{ m}$; (b) $32\text{ m}$; (c) $\dfrac{959\sqrt{7215}}{3600}\text{ m s}^{-1}\approx22.6\text{ m s}^{-1}$

Kinematics - Differentiating Displacement and Velocity

Kinematics - Differentiating Displacement and Velocity

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