Question

Two objects are projected at angles 30° and 60° respectively with respect to the horizontal direction. The range of two objects are denoted as R₃₀° and R₆₀°. Choose the correct relation from the following

Answer 1

Horizontal range is given by R = u²sin2Ф/g
Here, u is the initial velocity of projectile inclined Ф with horizontal direction.

Case 1 :- when object is projected at angle 30° with horizontal direction.
e.g., Ф = 30°
⇒ R₃₀° = u²sin2(30°)/g = u²sin60°/g = √3u²/2g

Case 2 :- 2nd object is projected at angle 6° with horizontal direction.
e.g., Ф = 60°
⇒ R₆₀° = using(60°)/g = u²sin120°/g
= u²sin(180°-60°)/g
= u²sin60°/g
= √3u²/2g

Hence, R₃₀° = R₆₀°
So , option (a) is correct

Answer 2

Answer:

R30°=R60°

...

option a is correct