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A high-powered 7-mm Remington Magnum rifle fires a bullet with a velocity of 900 m/s on a rifle range. Neglect air resistance.

(a) Calculate the distance such a bullet will drop at a range of 200 m when fired horizontally.

(b) To compensate for the drop of the bullet, when the telescope sight is pointed directly at the target, the barrel of the gun is aligned to be slanted slightly upward, pointed a distance above the target. The downward fall due to gravity then makes the bullet strike the target as desired. Suppose, however, such a shot is fired uphill at a target 200 m distant. If the upward slope of the hill is 45°, should you aim above or below the target, and by how much?

Additionally, what should you do when shooting on a downhill slope at 45° below horizontal?​

Answer :

Final answer:

Projectile motion principles are utilized to calculate bullet drop when fired horizontally and under conditions of slope. Greater muzzle velocity reduces the effect of gravity over time, whereas air resistance increases bullet drop by slowing it down over distance.

Explanation:

The problem presented involves calculating the drop of a bullet fired horizontally and the implications of firing at an incline or decline. It falls within the domain of projectile motion in physics. When calculating the bullet drop for a horizontal shot, we must consider the acceleration due to gravity, which affects the bullet's vertical motion while the horizontal velocity remains constant.

(a) To find how low a bullet would hit a target at a 150 m distance when sighted for 100 m, we can use the kinematic equations for projectile motion. First, calculate the time it takes for the bullet to travel 150 m horizontally, and then compute the vertical distance it falls during that time under constant gravity, without air resistance.

(b) A larger muzzle velocity would translate to a bullet reaching the target quicker, thereby reducing the time it is affected by gravity and leading to less drop. Air resistance, if considered, would slow down the bullet over time, increasing the drop and affecting accuracy over long distances.

Learn more about Projectile Motion here:

https://brainly.com/question/29545516

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