At what angle should a slingshot be oriented for maximum altitude? For maximum horizontal range?

1 Answer
Nov 20, 2015

From horizontal, 90^@ and 45^@ respectively.

Explanation:

This type of motion is called projectile motion.
In such motions the height attained is given by,
H=(u^2*sin^2theta)/(2g)
So H_max is attained when sin^2theta is maximum. So theta=90^@.
and, range is given by,
R=(u^2*sin(2theta))/g
So R_max is attained when sin(2theta) is maximum. So theta=45^@.
Here, u is the initial speed and g is the acceleratin due to http://gravity.www.askiitians.com