Thank you for visiting An expert marksman aims a high speed rifle directly at the center of a nearby target Assuming the rifle sight has been accurately adjusted for. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The bullet aimed at a 150m target, sighted for 100m, will hit below the target's center due to gravity. Higher muzzle velocity reduces the bullet's drop, while air resistance slows the bullet, affecting the trajectory.
When addressing the issue of how a bullet will strike a target when a gun is sighted in for a specific distance, we need to consider the impact of gravity, which causes the bullet to drop as it travels. In this case, the gun is sighted for targets at 100 meters. If a marksman aims directly at the center of a target 150 meters away without adjusting the sight, the bullet will hit below the target's center because the gravitational pull will have had more time to affect the bullet's trajectory over the increased distance.
For part (a) of the question, we need to calculate the vertical displacement of the bullet due to gravity. The time it takes for the bullet to reach the target at 150 meters can be calculated using the horizontal component of the muzzle velocity, which remains constant in the absence of air resistance. Using kinematic equations, we find the time and then use this time to calculate the distance the bullet would fall due to gravity, thus determining how low the bullet would hit.
For part (b), increasing the muzzle velocity would mean that the bullet reaches the target faster, reducing the time gravity has to act on it, resulting in the bullet hitting closer to the intended point. Air resistance would slow the bullet down over time, also affecting the bullet's vertical drop, especially over longer distances.
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Rewritten by : Jeany
If an expert marksman aims a high-speed rifle directly at the center of a nearby target, assuming that the rifle sight has been accurately adjusted for more distant targets, the bullet will not hit the center of the target.
This is because the bullet will follow a curved path due to the effects of gravity and air resistance. These effects become more significant as the distance between the rifle and the target decreases. Therefore, the bullet will hit the target at a point below the center.
To compensate for this, the marksman needs to adjust the aim of the rifle slightly higher than the center of the target. This adjustment is known as "holdover," and it depends on several factors, including the distance between the rifle and the target, the weight and velocity of the bullet, and the effects of the environment, such as wind and temperature.
Therefore, to hit the center of the target at a nearby distance, the expert marksman needs to adjust the aim of the rifle slightly higher than the center of the target, compensating for the effects of gravity and air resistance on the bullet's trajectory.
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