Galileo writes that for angles of projection of a projectile at angles (45+θ) and (45-θ), the horizontal ranges described by the projectile are in the ratio of (if θ ≤ 45) 

(a) 2 : 1 

(b) 1 : 2 

(c) 1 : 1

(d) 2 : 3

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1 Answers

Correct Option  (c) 1 : 1

Explanation:

For angle (45°-θ), R = u2sin(90° - 2θ)/g =  u2 cos 2θ/g

For angle 45°+θ), R = u2sin(90° + 2θ)/g   =  u2 cos 2θ/g

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