A particle $P$ moves in a straight line such that $t$ seconds after starting at displacemen

Question

A particle $P$ moves in a straight line such that $t$ seconds after starting at displacement $-2$ metres from $O$, its velocity, $v$ m/s, is given by $v = 6t + 2t^2 - \frac{t^3}{2}$. Find, $t$ when the particle is instantaneously at rest, an expression for the displacement of the particle from $O$.

Accepted Answer

(i) $t=0$ s and $t=6$ s. (ii) $s=3t^2+\frac23t^3-\frac18t^4-2$.

Kinematics - Finding the Equation of Displacement from Velocity

Kinematics - Finding the Equation of Displacement from Velocity

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