Shows that the projection angle θ0 for a projectile launched from the origin is given by θ0 = tan-1(4hm / R) | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-4 Motion In A Plane



Q.32(b):- Shows that the projection angle θ0 for a projectile launched from the origin is given by θ0 = tan-1(4hm / R)
where the symbols have their usual meaning.

 

Answer:- 



Maximum vertical height, hm = u02 Sin2θ / 2g   …(i)
Horizontal range, R = u02 Sin22θ / g   … (ii)
hm / R = Sin2θ / 2Sin2
= Sin θ X Sin θ / 2 X 2SinθCosθ
= Sin θ / 4 Cos θ = tan θ / 4
tan θ = (4hm / R)
θ = tan-1 (4hm / R)