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Two particles 1 and 2 are projected with the same speed v.Particle 2 is on ground initially whereas particle 1 is at a height h from ground and at a horizontal distance s from particle 2 initially.If a graph for v vs s is plotted for the condition of collision of the two particles,then how would the graph look like?If it were to be a straight line,what would be its slope?
Verified Answer
Two particles 1 and 2 are projected with the same speed v.Particle 2 i...
The graph will be a straight line with slope -1. This is because s = vt, where t is the time taken for particle 1 to reach particle 2. Since both particles have the same speed, then t = s/v, and therefore s = vt = v^2. The slope of the graph therefore is -1.
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Two particles 1 and 2 are projected with the same speed v.Particle 2 i...
Graph of v vs s for the condition of collision of the two particles:
The graph for velocity (v) versus horizontal distance (s) for the condition of collision between particle 1 and particle 2 would be a straight line.
Explanation:
When the two particles collide, they will have the same final velocity. Let's assume this final velocity is u.
Initially, particle 1 is projected with a certain velocity v at a height h from the ground. As it moves horizontally towards particle 2, it will experience free fall due to gravity and its vertical velocity will increase. However, its horizontal velocity will remain constant at v throughout its motion.
Particle 2 is initially on the ground and has a horizontal velocity of 0. As particle 1 approaches, particle 2 will also start moving horizontally with the same velocity v.
Since both particles have the same final velocity u, and they travel the same horizontal distance s, the graph of v versus s will be a straight line with a positive slope.
Slope of the graph:
The slope of the graph represents the change in velocity (v) with respect to the change in horizontal distance (s). In this case, the slope will be constant and equal to the final velocity (u) of the particles.
Since the particles have the same final velocity, the slope of the graph will be equal to the final velocity value (u) for the collision between particle 1 and particle 2.
Therefore, the slope of the graph will be equal to the final velocity (u) of the particles.
The graph for velocity (v) versus horizontal distance (s) for the condition of collision between particle 1 and particle 2 would be a straight line.
Explanation:
When the two particles collide, they will have the same final velocity. Let's assume this final velocity is u.
Initially, particle 1 is projected with a certain velocity v at a height h from the ground. As it moves horizontally towards particle 2, it will experience free fall due to gravity and its vertical velocity will increase. However, its horizontal velocity will remain constant at v throughout its motion.
Particle 2 is initially on the ground and has a horizontal velocity of 0. As particle 1 approaches, particle 2 will also start moving horizontally with the same velocity v.
Since both particles have the same final velocity u, and they travel the same horizontal distance s, the graph of v versus s will be a straight line with a positive slope.
Slope of the graph:
The slope of the graph represents the change in velocity (v) with respect to the change in horizontal distance (s). In this case, the slope will be constant and equal to the final velocity (u) of the particles.
Since the particles have the same final velocity, the slope of the graph will be equal to the final velocity value (u) for the collision between particle 1 and particle 2.
Therefore, the slope of the graph will be equal to the final velocity (u) of the particles.
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Two particles 1 and 2 are projected with the same speed v.Particle 2 is on ground initially whereas particle 1 is at a height h from ground and at a horizontal distance s from particle 2 initially.If a graph for v vs s is plotted for the condition of collision of the two particles,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 ground initially whereas particle 1 is at a height h from ground and at a horizontal distance s from particle 2 initially.If a graph for v vs s is plotted for the condition of collision of the two particles,then how would the graph look like?If it were to be a straight line,what would be its slope? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two particles 1 and 2 are projected with the same speed v.Particle 2 is on ground initially whereas particle 1 is at a height h from ground and at a horizontal distance s from particle 2 initially.If a graph for v vs s is plotted for the condition of collision of the two particles,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 JEE 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 ground initially whereas particle 1 is at a height h from ground and at a horizontal distance s from particle 2 initially.If a graph for v vs s is plotted for the condition of collision of the two particles,then how would the graph look like?If it were to be a straight line,what would be its slope?.
Two particles 1 and 2 are projected with the same speed v.Particle 2 is on ground initially whereas particle 1 is at a height h from ground and at a horizontal distance s from particle 2 initially.If a graph for v vs s is plotted for the condition of collision of the two particles,then how would the graph look like?If it were to be a straight line,what would be its slope? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two particles 1 and 2 are projected with the same speed v.Particle 2 is on ground initially whereas particle 1 is at a height h from ground and at a horizontal distance s from particle 2 initially.If a graph for v vs s is plotted for the condition of collision of the two particles,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 JEE 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 ground initially whereas particle 1 is at a height h from ground and at a horizontal distance s from particle 2 initially.If a graph for v vs s is plotted for the condition of collision of the two particles,then how would the graph look like?If it were to be a straight line,what would be its slope?.
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