Question
Prove that the maximum horizontal range is 4 times the maximum height attained by a projectile.
Solution
The horizontal range is maximum when the angle of projection is 45°.
So,
...(1)
Maximum height for angle of projection
is,
...(2)
Therefore, from equation (1) and (2),
R = 4H
That is, range is 4 times the maximum height attained by a projectile.
So,
...(1)Maximum height for angle of projection
is, ...(2) Therefore, from equation (1) and (2),
R = 4H
That is, range is 4 times the maximum height attained by a projectile.
