Two stones are projected from the same point with same speed making angles 45°+x and 45°-x with the horizontal respectively. If x≤45° then the horizontal ratio of the two stones are in the ratio of?

1 Answer
Mar 14, 2018

#1:1#

Explanation:

Formula of range for projectile motion is given as, #R=(u^2 sin2 theta)/g# where, #u# is the velocity of projection and #theta# is the angle of projection.

For,#u# be the same for both the stones,their ratio of range becomes,

#sin 2(45+x) : sin 2(45-x)#

#= sin(90+2x) : sin(90-2x)#

#=cos 2x : cos 2x#

#=1:1#