[size=150]A particle P moves along a straight line and passes through a fixed point [i]O. [/i]Its velocity, [i]v[/i] ms[sup]-1[/sup], is given by [math]v=8+2t-t^2[/math], where [i]t[/i] is the time, in seconds, after passing through [i]O.[br][Assume motion is to the right is positive.][/i][/size][br][size=150]Find[br][br](a) the initial velocity, in ms[sup]-1[/sup], of the particle,[/size]

[size=150](b) the maximum velocity, in ms[sup]-1[/sup], of the particle.[br][/size]

[size=150](c) the value of [i]t[/i] at which the particle [i]P[/i] is at instantaneous rest,[/size]

[size=150](d) the total distance, in m, travelled by particle [i]P[/i] in the first 6 seconds after passing through [i]O.[br][/i][/size]