The initial speed of a bullet fired from a rifle is 630 m/s. The rifle is fired at the center of a target 700 m away at the same level as the rifle. How far above the center of the target should the rifle be aimed?

Question

18-10-2023
Physics

High School

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The initial speed of a bullet fired from a rifle is 630 m/s. The rifle is fired at the center of a target 700 m away at the same level as the rifle. How far above the center of the target should the rifle be aimed?

Answer :

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JulieRobin JulieRobin · Answer 1 · 2024-04-20T13:58:03-04:00

Final answer:

Using the formula Speed = Distance / Time, it is found that the time it takes for the bullet to reach the target is approximately 1.11 seconds. However, without considering the effect of gravity, the bullet should be fired directly at the center of the target.

Explanation:

This problem is related to motion in one dimension. Given the initial speed of the bullet and the distance to the target, we can find the time it takes for the bullet to reach the target by using the speed equals distance over time equation: Speed = Distance / Time. Here, the speed is 630 m/s and the distance is 700 m, so we can solve for time (Time = Distance / Speed). This gives us a time of approximately 1.11 seconds.

However, the question asks how far above the center of the target the bullet should be aimed, which assumes the bullet travels in a straight line, which is not the case due to gravity. Effect of gravity is not mentioned in the problem, therefore we would assume that the bullet should be fired directly at the center of the target.

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