A particle moves along a straight line and passes through a fixed point O. The velocity, v, in [math]ms^{-1}[/math], is given by [math]v=8+2t-t^2[/math], where t is the time, in seconds, after passing through point O.[br][Assume motion to the right is positive][br][br]Find
(a) the initial velocity of the particles, in [math]ms^{-1}[/math]
(b) the value of t, in seconds, when the particles stop momentarily.
(c) the maximum velocity of the particles, in [math]ms^{-1}[/math][br]
(d) the total distance, in m, travelled by the particles in the first 6 secondsj
[math]41\frac{1}{3}[/math]