A particle is projected vertically upwards from a point O O\,O with speed 19.6 m s-1. It returns to OOO. Model the particle as moving freely under gravity and use g=9.8 m s−2g=9.8\text{ m s}^{-2}g=9.8 m s−2.
Find the greatest height of the particle above OOO.
Find the total time for which the particle is in motion.