Question

Prove that the time of flight (T) and the horizontal range R of a projectile are
connected by the equation - 9T2=2R tan 8, where 8 =Angle of projection.​

Answer 1

Answer:

As we know that time of flight T= 2uSinθ / g

so T^2 =4u ^2 Sin ^2 θ/g^2

And horizontal range is R=2u ^2 SinθCosθ/g

Now on dividing

T^2 by R we get T ^2 /R=2tanθ/g

or gT^2 =2Rtanθ

,proved.

hope it will help you....