posted by amol .
girl throws the ball with a certain angle. It covers maximum horizontal distance R. How much height ball reaches if she throws the same ball vertically upward? Assume her muscles give the ball same speed in each case.
Maximum range is obtained when throwing at a 45 degree angle, and equals V^2/ g . That is the range, R.
V is the initial velocity of the throw, and g is the acceleration of gravity.
If thrown vertically upward at the same velocity, the height attained is V^2/(2g)' which is R/2.