Physics

Problem

A projectile is launched from the ground at an angle of

60^{\circ}

with a speed of

20\,\text{m/s}

. It lands on the flat roof of a building. If the time of flight until impact is

3\,\text{s}

, find the height of the building and the horizontal distance of the impact point from the launch site. (Take

g = 10\,\text{m/s}^{2}

\sqrt{3} = 1.73

)