Thank you for visiting A hunter is 3 m above the ground in a nest For target practice he sees a can sitting on the ground 100m away The. 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 :
if the hunter doesn't adjust his angle, he will come up short and miss the target by approximately 0.547 meters.
The hunter is 3 m above the ground in a nest and sees a can on the ground 100 m away. The bullet leaving his rifle travels at 300 m/s.
To determine whether the hunter will come up short, overshoot, or hit the target, we need to consider the horizontal and vertical components of the bullet's motion.
1. Horizontal Motion: The horizontal distance the bullet travels is determined solely by its initial velocity and time of flight. Since the hunter doesn't adjust his angle, the bullet will continue to travel horizontally at a constant velocity of 300 m/s. Therefore, it will hit the target horizontally.
2. Vertical Motion: The bullet's initial vertical velocity is 0 m/s because it is fired horizontally. The only force acting on the bullet vertically is gravity, which causes it to accelerate downward at a rate of 9.8 m/s^2.
The time it takes for the bullet to reach the target can be determined using the formula t = d/v, where t is the time, d is the distance, and v is the initial velocity. Plugging in the values, we have t = 100 m / 300 m/s = 0.333 s.
The bullet will be in the air for 0.333 seconds. During this time, the bullet will experience a vertical displacement due to gravity. The formula for vertical displacement is d = 1/2 * g * t^2, where d is the displacement, g is the acceleration due to gravity, and t is the time. Plugging in the values, we have d = 1/2 * 9.8 m/s^2 * (0.333 s)^2 = 0.547 m.
Therefore, the bullet will hit the ground 0.547 meters below the target. Since the can is on the ground and the bullet will hit below the target, the hunter will come up short and miss the can.
In summary, if the hunter doesn't adjust his angle, he will come up short and miss the target by approximately 0.547 meters.
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