Thank you for visiting A rifle is aimed horizontally at a target point 25 m away The bullet hits the target 2 2 cm below the aiming point a. 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 :
Final answer:
To find the speed of the bullet as it emerges from the rifle, calculate the time taken for horizontal distance, and then use it to find the vertical velocity and total speed. To find the height the rifle barrel must be pointed, calculate the time taken for vertical distance, and then use it to find the angle.
Explanation:
To find the speed of the bullet as it emerges from the rifle, we can use the relationship between time and distance traveled in projectile motion. Since the bullet hits the target 2.2 cm below the aiming point, we can calculate the time it takes for the bullet to travel horizontally to the target using the horizontal distance and the horizontal velocity. Once we have the time, we can use it to find the vertical velocity of the bullet and then calculate the total speed of the bullet using the Pythagorean theorem.
To find the height the rifle barrel must be pointed so that the bullet hits the target point accurately, we can use the same time calculated in part (a) and the vertical distance between the aiming point and the target. Using this information, we can find the vertical velocity of the bullet and then calculate the angle at which the rifle barrel should be pointed using trigonometry.
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