The initial speed of a projectile fired from ground is u. At the highest point during its motion, the speed of projectile is . The time of flight of the projectile is :

Engineering

Physics

Projectile Motion

Question

The initial speed of a projectile fired from ground is u. At the highest point during its motion, the speed of projectile is $\frac{\sqrt{3}}{2} u$ . The time of flight of the projectile is :

$\frac{2 u}{g}$

$\frac{u}{2 g}$

$\frac{u}{g}$

$\frac{\sqrt{3 u}}{g}$

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Velocity of particle at the highest point Velocity of particle at the highest point

u cos θ = $\frac{\sqrt{3}}{2} u$

cos θ = $\frac{\sqrt{3}}{2}$

θ = 30°

$T = \frac{2 usinθ}{g}$ ⇒ $T = \frac{2 usin 30}{g} \Rightarrow T = \frac{u}{g}$