Question

Two projectile thrown from the same point at angles 60⁰ and 30⁰ with the horizontal attain the same height. The ratio of their initial velocities is –

• A. 1
• B. 2
• C. $\sqrt{3}$
• D. $\frac{1}{\sqrt{3}}$

Answer 1

Answer: (D)

$\frac{1}{\sqrt{3}}$

Answer 2

$\frac{u_{1}^{2}\sin^{2}\theta_{1}}{2g}$ = $\frac{u_{2}^{2}\sin^{2}\theta_{2}}{2g}$

u₁ sin q₁ = u₂ sin q₂

$\frac{u_{1}}{u_{2}}$= $\frac{\sin 30{^\circ}}{\sin 60{^\circ}}$= $\frac{1}{\sqrt{3}}$