A particle travels in a straight line so that, $t$ seconds after passing a fixed point $O$, its

Question

A particle travels in a straight line so that, $t$ seconds after passing a fixed point $O$, its displacement, $s$ metres is given by $s = 9t^2 - 2t^3$. Find an expression for the velocity, $v$ m/s, of the particle in terms of $t$. Find an expression for the acceleration, $a$ m/s$^2$, of the particle at any time $t$ seconds Find the acceleration at $t = 2$

Accepted Answer

(a) $v=18t-6t^2\text{ m s}^{-1}$; (b) $a=18-12t\text{ m s}^{-2}$; (c) $-6\text{ m s}^{-2}$

Kinematics - Differentiating Displacement and Velocity

Kinematics - Differentiating Displacement and Velocity

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