A particle travels in a straight line such that, $t$ s after passing a fixed point, $O$, its vel

Question

A particle travels in a straight line such that, $t$ s after passing a fixed point, $O$, its velocity is given by $v = 8 \cos \left( \frac{t}{2} \right).$ Find: The value of $t$ when $v = 4$ for the first time The acceleration when $t = 2$ The distance from $O$ when $v = 0$ for the first time.

Accepted Answer

(a) $t=\dfrac{2\pi}{3}\text{ s}$ (b) $-3.37\text{ m/s}^2$ (c) $16\text{ m}$

Kinematics - Differentiating Displacement and Velocity

Kinematics - Differentiating Displacement and Velocity

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