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

1 Answer
aniruddho r.
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 gravity.www.askiitians.com

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