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Two bullets are fired simultaneously horizontally and with different speeds from the same place. Which bullet will hit the ground first .(a) the faster one (b) the slower one (c) both will reach simultaneously (d) depend on the mass?
Verified Answer
Two bullets are fired simultaneously horizontally and with different s...
Suppose the bullets are fired from the height ‘h’.
Suppose one of the bullets have initial horizontal speed v which remains constant throughout its journey. Its initial downward speed (u) is 0. And it is accelerated in the downward direction with an acceleration ‘g’.
The time t taken by the bullet to hit the ground is found by using,
S = ut + 1/2 at^2
=> h = 0 + 1/2 gt^2
=> t = (2h/g)^1/2
Thus, the time taken to reach the ground is independent of the initial horizontal speed (v) of the bullets. Hence, both the bullets fired simultaneously in the horizontal direction from the same height will reach the ground simultaneously.
This question is part of UPSC exam. View all Class 9 courses
Most Upvoted Answer
Two bullets are fired simultaneously horizontally and with different s...
Introduction:
When two bullets are fired horizontally and with different speeds from the same place, the question arises as to which bullet will hit the ground first. In order to determine this, we need to consider the factors that influence the motion of the bullets, namely their initial velocities and the effects of gravity.
Factors influencing the motion:
1. Initial velocities: The bullets are fired with different speeds. The faster bullet will cover a larger horizontal distance in the same amount of time compared to the slower bullet.
2. Effects of gravity: Gravity acts vertically downwards, causing both bullets to experience a downward acceleration. This acceleration is the same for both bullets and is equal to the acceleration due to gravity, denoted as 'g'.
Analysis:
Considering the factors mentioned above, we can analyze the motion of the bullets.
1. Horizontal motion: Since the bullets are fired horizontally, their initial vertical velocities are zero. Thus, there is no vertical acceleration acting on them during their horizontal motion. As a result, the time taken by both bullets to hit the ground horizontally will be the same.
2. Vertical motion: Both bullets experience the same downward acceleration due to gravity. The time taken for an object to fall vertically from a certain height is determined solely by the height and the acceleration due to gravity, not by the horizontal motion. Therefore, the vertical motion of the bullets is independent of their horizontal motion.
Conclusion:
Based on the analysis, we can conclude that both bullets will hit the ground simultaneously, regardless of their initial velocities or masses. The bullets' horizontal motion does not affect the time taken for them to fall vertically. As long as they are fired simultaneously and experience the same gravitational acceleration, they will reach the ground at the same time.
Summary:
In summary, when two bullets are fired simultaneously horizontally and with different speeds from the same place, both bullets will hit the ground simultaneously. The time taken for the bullets to fall vertically is determined solely by their height and the acceleration due to gravity, not by their horizontal motion or mass.
When two bullets are fired horizontally and with different speeds from the same place, the question arises as to which bullet will hit the ground first. In order to determine this, we need to consider the factors that influence the motion of the bullets, namely their initial velocities and the effects of gravity.
Factors influencing the motion:
1. Initial velocities: The bullets are fired with different speeds. The faster bullet will cover a larger horizontal distance in the same amount of time compared to the slower bullet.
2. Effects of gravity: Gravity acts vertically downwards, causing both bullets to experience a downward acceleration. This acceleration is the same for both bullets and is equal to the acceleration due to gravity, denoted as 'g'.
Analysis:
Considering the factors mentioned above, we can analyze the motion of the bullets.
1. Horizontal motion: Since the bullets are fired horizontally, their initial vertical velocities are zero. Thus, there is no vertical acceleration acting on them during their horizontal motion. As a result, the time taken by both bullets to hit the ground horizontally will be the same.
2. Vertical motion: Both bullets experience the same downward acceleration due to gravity. The time taken for an object to fall vertically from a certain height is determined solely by the height and the acceleration due to gravity, not by the horizontal motion. Therefore, the vertical motion of the bullets is independent of their horizontal motion.
Conclusion:
Based on the analysis, we can conclude that both bullets will hit the ground simultaneously, regardless of their initial velocities or masses. The bullets' horizontal motion does not affect the time taken for them to fall vertically. As long as they are fired simultaneously and experience the same gravitational acceleration, they will reach the ground at the same time.
Summary:
In summary, when two bullets are fired simultaneously horizontally and with different speeds from the same place, both bullets will hit the ground simultaneously. The time taken for the bullets to fall vertically is determined solely by their height and the acceleration due to gravity, not by their horizontal motion or mass.
Community Answer
Two bullets are fired simultaneously horizontally and with different s...
(a) the faster one.Because it has less momentum.
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Two bullets are fired simultaneously horizontally and with different speeds from the same place. Which bullet will hit the ground first .(a) the faster one (b) the slower one (c) both will reach simultaneously (d) depend on the mass?
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Two bullets are fired simultaneously horizontally and with different speeds from the same place. Which bullet will hit the ground first .(a) the faster one (b) the slower one (c) both will reach simultaneously (d) depend on the mass? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two bullets are fired simultaneously horizontally and with different speeds from the same place. Which bullet will hit the ground first .(a) the faster one (b) the slower one (c) both will reach simultaneously (d) depend on the mass? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bullets are fired simultaneously horizontally and with different speeds from the same place. Which bullet will hit the ground first .(a) the faster one (b) the slower one (c) both will reach simultaneously (d) depend on the mass?.
Two bullets are fired simultaneously horizontally and with different speeds from the same place. Which bullet will hit the ground first .(a) the faster one (b) the slower one (c) both will reach simultaneously (d) depend on the mass? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two bullets are fired simultaneously horizontally and with different speeds from the same place. Which bullet will hit the ground first .(a) the faster one (b) the slower one (c) both will reach simultaneously (d) depend on the mass? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bullets are fired simultaneously horizontally and with different speeds from the same place. Which bullet will hit the ground first .(a) the faster one (b) the slower one (c) both will reach simultaneously (d) depend on the mass?.
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