Question

The range of projectile is 300 m for an angle of
projection of 30°, if the angle of projection is
doubled, then the range of the same projectile will
be
a. 100 m
b. 200 m
c. 600 m
d. 300 m​

Answer 1

Answer:

1. answer is c)600

Explanation:

because if we double the angle of projection then the distance also doubled

Answer 2

method 1 : range of projectile ( R) = u^2sin2θg

300m = u^2sin2(30)g

R = u^2sin2(60)g

divinding eqn 1 by 2

300/R =u^2sin(60)g/u^2sin(120)g

300/R = sin 60/sin 120

300/R =√3/2/√3/2

300/R= 1

R =300

method 2 : range is same for θ = 30 and 90 -  θ = 60

therby their range will be same