Question

Find the angles of projection for which the maximum height is (i) 1/4 th and (ii) 3/4 th of the horizontal

range​

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