The range of a projectile at 30° is R. At an angle of 60°, the range will be
Correct answer: A. R
- A. R
- B. R/2
- C. 2R
- D. R/4
Explanation
The range of a projectile depends on the initial velocity and the angle of projection but is independent of the mass of the projectile. The range R is given by R=v^2sin2θ/2 , where v is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity. Since the range formula is symmetrical with respect to 30∘ and 60∘, the range at 60∘ will be the same as at 30∘, i.e., R.Incorrect Options Explanation:(b) R/2: The range does not halve when the angle doubles.(c) 2R: This value does not correspond to the relationship between the angles and the range of a projectile.(d) R/4: This value is not consistent with the relationship between the angles and the range of a projectile.
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