(a)[4]
Find $k$.
(b)[3]
Find the minimum velocity of the particle. You do not need to prove that this is a minimum.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle moves along a straight line. At time $t\,\text{s}$ after departing from a point $O$, its velocity is $v\,\text{m s}^{-1}$, where $v = kt^2 - 4t + 3$. The particle covers $6\,\text{m}$ during the first $2\,\text{s}$ of its motion. You may take $v > 0$ throughout the first $2\,\text{s}$.