Question
A stone is projected with velocity (√2gh) from the top of building h meter high. Show that it will fall farthest at a distance (2√2)h.
Solution
Let the stone be projected at angle θ to make the stone fall at farthest point and (0,R) be the coordinates of point where stone reaches the ground.
Here (0, R) lies on the trajectory. Therefore, we have,
Here (0, R) lies on the trajectory. Therefore, we have,
