[i]The diagram above shows the motion of a car along a straight road starting from a fixed point [/i][math]O[/math][i] and heading towards points A and B. The velocity, [/i][math]v[/math][math]ms^{-1}[/math][i] , of the car at a time [/i][math]t[/math][i]instant after passing the fixed point [/i][math]O[/math][i] is given by [/i][math]v=3t^2-16t-12[/math][i] . Given that the car is at point A when and is at rest momentarily at point B. Calculate[/i][br][br][i](a) the acceleration of the car at point B, in [math]ms^{-2}[/math][br][/i]

[i](b) distance AB, in m[/i]