Question

Two projectiles A and B are thrown from the same point with velocities $\frac{v}{2}$ and respectively. If B is thrown at an angle $45^0$ with horizontal. What is the inclination of A. when their ranges are the same ?

• A. ${\sin }^{-1}\left(\frac{1}{4}\right)$
• B. $\frac{1}{2}{\sin }^{-1}\left(\frac{1}{4}\right)$
• C. $2{\sin }^{-1}\left(\frac{1}{4}\right)$
• D. $\frac{1}{2}{\sin }^{-1}\left(\frac{1}{8}\right)$

Answer 1

Answer: (B)

$\frac{{\nu }^2}{4g}=\frac{{\nu }^2\sin 2\theta }{g}$