A particle moves along a straight line and passes through a fixed point O with a velocity of [math]-6ms^{-1}[/math]. Its acceleration, a [math]ms^{-2}[/math], at t seconds after passing through O is given by a=8-4t.[br][br][Assume the movement to the right is positive][br][br]a) Find the maximum velocity, in [math]ms^{-1}[/math],of the particle.[br]
maximum velocity = 2 [math]ms^{-1}[/math][br][i]halaju maksimum = 2[math]ms^{-1}[/math][/i]
b) Find the time, in seconds, of the particle when it passed the fixed point O again.
c) Find the total distance, in m, travelled by the particle in the first 3 seconds.
[i][b]Hint[/b] : sketch the velocity-time graph for the movement of the particle for [/i][math]0\le t\le3[/math][i] to ease the calculation.[br][/i][br][math]5\frac{1}{3}m[/math]