[填空题]
A particle moves in a straight line and its velocitnbd i4osu.w1( -e kr voa v3l;5to1:ct;mr-isy, $ v \mathrm{~ms}^{-1}$ , at time t seconds, is given by $ v(t)=\left(t^{2}-2\right)^{2} $, for $ 0 \leq t \leq 2$ .
1. Find the initial velocity of the particle.
2. Find the value of t for which the particle is at rest.
3. Find the total distance travelled by the particle in the first 2 seconds.
4. Show that the acceleration of the particle is given by $a(t)=4 t^{3}-8 t $.
5. Find the values of t for which the velocity is positive and the acceleration is negative. a $\lt$t$lt$ b a = b =
