Question

The initial velocity of a projectile of mass 1 kg is given by $u=(\hat{i}+\sqrt{3}\hat{j})m/s$. What is the time of flight?

• A. $\frac{2\sqrt{3}}{5}s$
• B. $\frac{\sqrt{3}}{10}s$
• C. $\frac{3\sqrt{3}}{5}s$
• D. $\frac{\sqrt{3}}{5}s$

Answer 1

The correct option is D

$\frac{\sqrt{3}}{5}s$

Vertical component of velocity, $u_y=usin\theta =\sqrt{3}m/s$
Now, time of flight, $T=\frac{2usin\theta }{g}=\frac{2\times \sqrt{3}}{10}=\frac{\sqrt{3}}{5}s$
Hence, the correct choice is (d).