If two stones projected from the same point with the same speed but at angles pi/3 and pi/6 respectively have their ranges R₁ and R₂ then a)R1=2R2 B)R1=R2 C)R1=5R2 D)R1=25R2

Question

If two stones projected from the same point with the same speed but at angles pi/3 and pi/6 respectively have their ranges R₁ and R₂ then               a)R1=2R2 B)R1=R2 C)R1=5R2 D)R1=25R2

MathMate · Answer

The equation for range is R(θ)=v²sin(2θ)/g Examine the values of sin(2θ) to arrive at the correct ratio .