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 $-3$ metres from $O$, its velocity, $v$ m/s, is given by $v = 3t^2 + 13t - 10$. Find $t$ when the particle changes direction. an expression for the displacement of the particle from $O$.

Accepted Answer

(i) The particle changes direction at $t=\frac23$ s. (ii) $s=t^3+\frac{13}{2}t^2-10t-3$.

Kinematics - Finding the Equation of Displacement from Velocity

Kinematics - Finding the Equation of Displacement from Velocity

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