A projectile fired at 30° to the ground is observed to be at same height at time 3 s and 5 s after projection, during its flight. The speed of projection of the projectile is ______ m (Given g = 10 m ) [2023]

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Solution

Q.
A projectile fired at 30° to the ground is observed to be at same height at time 3 s and 5 s after projection, during its flight. The speed of projection of the projectile is ______ m $s^{- 1}$ (Given g = 10 m $s^{- 2}$ ) [2023]

Ans.
(80)

$Time of flight t_{1} + t_{2} = 3 + 5 = 8 sec$

$T = \frac{2 u \sin 30 °}{g}$

$8 = \frac{2 u \sin (30 °)}{10}$

$\Rightarrow u = 80 m/s$

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