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 $+1$ metre from $O$, its velocity, $v$ m/s, is given by $v = \frac{1}{2}t^3 - \frac{11}{2}t^2 + 15t$. Find $t$ when the particle is instantaneously at rest, an expression for the displacement of the particle from $O$. distance away from $O$ at $t = 1$.

Accepted Answer

(i) $t=0,5,6$ s. (ii) $s=\frac18t^4-\frac{11}{6}t^3+\frac{15}{2}t^2+1$. (iii) $\frac{163}{24}$ m from $O$.

Kinematics - Finding the Equation of Displacement from Velocity

Kinematics - Finding the Equation of Displacement from Velocity

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