Question

Four projectiles are thrown with the same initial speed making angles \( 25^{\circ}, 39^{\circ}, 42^{\circ}, 51^{\circ} \) with the horizontal. The range of the projectile will be largest for the projectile fired at angle 

a) \( 25^{\circ} \) 

b) \( 39^{\circ} \) 

c) \( 42^{\circ} \) 

d) \( 51^{\circ} \)

Answer 1

Correct option is (C) 42^o

Range of projectile = \(\frac{u^2sin2\theta}g\) = \(\frac{u^2sin(2\times42^o)}g\) 

R_max = \(\frac{u^2sin84^o}g\) 

84^o ≈ 90^o

R_max = \(\frac{u^2}g\)