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Fast Bullets

A rifle that shoots bullets at [tex]420 \, \text{m/s}[/tex] fires a bullet at a target [tex]49.8 \, \text{m}[/tex] away. How high above the target must the rifle barrel be pointed to ensure that the bullet will hit the target?

Answer :

Answer:

0.08°

Explanation:

velocity of projection, u = 420 m/s

Horizontal range, R = 49.8 m

Let the angle of projection is θ.

Use the formula for the horizontal range.

[tex]R=\frac{u^{2}Sin2\theta }{g}[/tex]

[tex]49.8=\frac{420^{2}Sin2\theta }{9.8}[/tex]

Sin 2θ = .0027

2θ = 0.1585

θ = 0.08°

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Rewritten by : Jeany