A particle moves in a straight line with a velocity $v$ ms${}^{-1}$ given by \(v = 3t^2 - 2t - 5

Question

A particle moves in a straight line with a velocity $v$ ms${}^{-1}$ given by $v = 3t^2 - 2t - 5$, where $t$ is the time in seconds after passing a point $A$, which is $3$ metres to the left of a fixed point $O$.

Find the

acceleration when $t = 5$.
the minimum velocity.
the average speed during the first $2$ seconds.

Accepted Answer

(a) $28\text{ m s}^{-2}$. (b) Minimum velocity $-\frac{16}{3}\text{ m s}^{-1}$. (c) Average speed $\frac{94}{27}\text{ m s}^{-1}$.

Kinematics - Maximum and Minimum Motion Quantities

Kinematics - Maximum and Minimum Motion Quantities

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