\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A particle moves with velocity function \(v(t) = 10t - t^2\) cm/s, for \(t \ge 0\). Find:
  1. the velocity of the particle when \(t=2\) seconds.
    cm/s
  2. the average acceleration of the particle from \(t=1\) to \(t=3\) seconds.
    cm/s\(^2\)
  3. the acceleration function \(a(t)\).
    \(a(t) = \)
  4. the instantaneous acceleration of the particle when \(t=3\) seconds.
    cm/s\(^2\)