Go Away!

Classical Mechanics Level 5

On top of a tower of height $\displaystyle H$ , a Particle is thrown with a velocity $\displaystyle u$ at a variable angle.

If $\displaystyle R_{max}$ represents the maximum possible Range of the particle (in meters), then Evaluate $\displaystyle 159R_{max}$ to the nearest integer.

Details and Assumptions:
$\displaystyle \bullet$ $\displaystyle u = 2m/s$
$\displaystyle \bullet$ $\displaystyle H = 5m$
$\displaystyle \bullet$ Take $\displaystyle g = 9.8m/s^2$