Physics

Problem

A tennis ball is launched from ground level to land on a balcony. The balcony is

6\,\text{m}

high and

8\,\text{m}

horizontally from the launch point. The ball reaches its maximum height exactly at the horizontal position of the balcony edge (

x = 8\,\text{m}

) but continues to travel, landing on the balcony floor which extends beyond the edge. If the ball lands

2\,\text{m}

beyond the edge of the balcony, calculate the cosine of the initial launch angle. (Take

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

and

\sqrt{89} = 9.43

)