Question

Horizonteel range of projectile is maximum when it is fried at an angle of a) 30° 6) 60° 45 d) 90°​

Answer 1

Horizonteel rang of projectile is 60°

Answer 2

Answer:

C) 45

Explanation:

Correct option is

C

45o

Let Velocity is V and the angle of projection with horizontal is θ. 

∴Range, R=g2V2sinθcosθ=gV2sin2θ 

⇒dθdR=gV22cos2θ=0  ⇒2θ=90o    ⇒θ=45o

⇒dθ2d2R=−gV24sin2θ, at θ=45o  ⇒dθ2d2R=−g4V2<0

Hence, at θ=45o , Range is maximum.