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Question: The maximum range of rifle bullet on the horizontal ground is 6 km its maximum range on an inclined ...

The maximum range of rifle bullet on the horizontal ground is 6 km its maximum range on an inclined of 300 will be

A

1 km

B

2 km

C

4 km

D

6 km

Answer

4 km

Explanation

Solution

Maximum range on horizontal plane R=u2g=6kmR = \frac{u^{2}}{g} = 6km (given)

Maximum range on a inclined plane Ru2g(1+sin⁡α)max⁡{R\frac{u^{2}}{g(1 + \sin\alpha)}}_{\max}

Putting α = 30o

Ru2g(1+sin⁡30o)23(u2g)23max⁡{R\frac{u^{2}}{g(1 + \sin 30^{o})}\frac{2}{3}\left( \frac{u^{2}}{g} \right)\frac{2}{3}}_{\max}