Question

find the angle at which the horizontal range is maximum​

Answer 1

R=  

g

u  

2

sin2θ

​  

 

H=  

2g

u  

2

sin  

2

θ

​  

 

g

u  

2

sin2θ

​  

=  

2g

u  

2

sin  

2

θ

​  

 

2sinθcosθ=  

2

sin  

2

θ

​  

 

ucosθ=sinθ

tanθ=4

θ=tan  

−1

4

Answer 2

Answer:

θ = 45°

Explanation:

Horizontal Range = $\frac{u^2sin 2\theta}{g}$

Range will be maximum if sin 2θ = 1

so 2θ = 90°

so θ should be 45° for the range to be maximum