The displacement, S metres of a moving particle from point O, after t seconds is given by:

S = t^{3} – 5t^{2} + 3t + 10

- Find S when t = 2
- Determine:
- The velocity of the particle when t = 5sec
- The value of t when the particles is momentarily at rest.

- Find the time, when the velocity of the particle is maximum.