The velocity of a particle, in $ms^{-1}$, moving in a straight line, $t$ $s$ after passing a f

Question

The velocity of a particle, in $ms^{-1}$, moving in a straight line, $t$ $s$ after passing a fixed point, $O$, is given by the equation $v = 12t - 2t^{2}$. Find: The time at which the velocity reaches a maximum. The positive time at which the particle next comes instantaneously to rest. The distance from $O$ at that positive rest time. The speed of the particle when it passes $O$ again.

Accepted Answer

(a) $3\text{ s}$; (b) $6\text{ s}$ after passing $O$; (c) $72\text{ m}$; (d) $54\text{ m s}^{-1}$

Kinematics - Maximum and Minimum Motion Quantities

Kinematics - Maximum and Minimum Motion Quantities

Video Solution:

Solution:

Solution locked