. gun sights are adjusted to aim high to compensate for the effect of gravity, effectively making the gun accurate only for a specific range. (a) if a gun is sighted to hit targets that are at the same height as the gun and 100.0 m away, how low will the bullet hit if aimed directly at a target 150.0 m away?

Question

21-10-2022
Physics

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. gun sights are adjusted to aim high to compensate for the effect of gravity, effectively making the gun accurate only for a specific range. (a) if a gun is sighted to hit targets that are at the same height as the gun and 100.0 m away, how low will the bullet hit if aimed directly at a target 150.0 m away?

Answer :

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BinithaR BinithaR · Answer 1 · 2022-10-28T04:58:52-04:00

The problem describes a situation where a bullet is launched at a certain angle respect to the horizontal to hit in the target, given the launching conditions and the distance to the target. The formulas to compute the magnitudes involved in the projectile motion are

x=[tex]v0[/tex] cos0 t

Y=[tex]V0[/tex] sin0 t

xm=[tex]v0[/tex]² sin 20/g

[tex]Xm[/tex] is the maximum horizontal distance the object can reach when it returns to the ground (or launching height).

let's check if X is computed correctly .

The set of data is correct. We can now proceed to the required distance. We know the bullet is shot directly to the target, so the angle is 0, keeping the same speed. The new maximum distance is 150 m, so we can compute the time needed to complete the flight

since

Let's find the time from the formula

X=[tex]V0[/tex] cos0 t

t=[tex]Xm[/tex]/[tex]V0[/tex] cos0

t=150/100=1.5

Y=(9.8)(0.66)²÷2

Y=-2.134

The bullet will hit 2.134 meters below the target

To learn more about angle calculation refer to :

https://brainly.com/question/28144202

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