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Two particles 1 and 2 are projected with the same speed v.Particle 2 is on the ground and particle 1 is at a height h from ground and at a horizontal distance s from particle 2.If a graph for v vs s is plotted for the condition of collision of the two,then how would the graph look like?If it were to be a straight line,what would be its slope?
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Two particles 1 and 2 are projected with the same speed v.Particle 2 i...
Graph for v vs s
The graph for velocity (v) versus horizontal distance (s) would be a straight line with a positive slope.
Explanation
When particles 1 and 2 are projected with the same speed, they both have the same initial vertical velocity component. The only difference is that particle 1 is initially at a height (h) above the ground. As both particles move horizontally, their vertical velocities remain the same, but the vertical position of particle 1 decreases due to the effect of gravity.
When particle 1 reaches the ground, it will have the same horizontal position as particle 2. At this point, the horizontal distance traveled by particle 1 (s) will be equal to the distance between the initial positions of both particles. This means that particle 1 will cover a greater horizontal distance compared to particle 2.
Since the speed (v) of both particles is the same, and the time taken for particle 1 to reach the ground is greater due to its initial height, the graph of v vs s will be a straight line with a positive slope. This is because the velocity (v) is directly proportional to the horizontal distance (s) traveled by particle 1.
Slope of the graph
The slope of the graph represents the ratio of the change in velocity (Δv) to the change in horizontal distance (Δs). In this case, the slope would be positive and equal to the constant speed of the particles (v).
The reason for the positive slope is that both particles are projected with the same initial speed. Therefore, as the horizontal distance increases, the velocity also increases proportionally. This implies that the particles are moving with a constant speed and covering equal increments of distance in equal increments of time.
In conclusion, the graph of v vs s for the condition of collision between the two particles would be a straight line with a positive slope, representing the constant speed of the particles.
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Two particles 1 and 2 are projected with the same speed v.Particle 2 is on the ground and particle 1 is at a height h from ground and at a horizontal distance s from particle 2.If a graph for v vs s is plotted for the condition of collision of the two,then how would the graph look like?If it were to be a straight line,what would be its slope?
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Two particles 1 and 2 are projected with the same speed v.Particle 2 is on the ground and particle 1 is at a height h from ground and at a horizontal distance s from particle 2.If a graph for v vs s is plotted for the condition of collision of the two,then how would the graph look like?If it were to be a straight line,what would be its slope? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two particles 1 and 2 are projected with the same speed v.Particle 2 is on the ground and particle 1 is at a height h from ground and at a horizontal distance s from particle 2.If a graph for v vs s is plotted for the condition of collision of the two,then how would the graph look like?If it were to be a straight line,what would be its slope? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two particles 1 and 2 are projected with the same speed v.Particle 2 is on the ground and particle 1 is at a height h from ground and at a horizontal distance s from particle 2.If a graph for v vs s is plotted for the condition of collision of the two,then how would the graph look like?If it were to be a straight line,what would be its slope?.
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