A particle, $P$, moves in a straight line. Its displacement, $x$ m, from a fixed point $O$ at

Question

A particle, $P$, moves in a straight line. Its displacement, $x$ m, from a fixed point $O$ at time $t$ is given by $x = t(t^2 - 16)$. Find the times when the particle is at $O$, an expression for the velocity of the particle, when the particle is at rest, Here $t\ge0$ is the time in seconds from the start of the motion.

Accepted Answer

(a) $t=0,4\text{ s}$; (b) $v=3t^2-16\text{ m s}^{-1}$; (c) $t=\dfrac4{\sqrt3}\text{ s}$

Kinematics - Differentiating Displacement and Velocity

Kinematics - Differentiating Displacement and Velocity

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