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The displacement of a particle starting from rest (at t=0) is given by s=6t^2-t Find The time in second at which the particle will attain 0 velocity.?
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The displacement of a particle starting from rest (at t=0) is given by...
Problem: Find the time in seconds at which the particle will attain 0 velocity given that the displacement of a particle starting from rest (at t=0) is given by s=6t^2-t.
Solution:
Step 1: Calculate the velocity of the particle
We know that velocity is the derivative of displacement with respect to time. Therefore, the velocity of the particle is given by:
v = ds/dt = 12t - 1
Step 2: Set the velocity equation to 0
To find the time at which the particle will attain 0 velocity, we need to set the velocity equation equal to 0 and solve for t:
12t - 1 = 0
12t = 1
t = 1/12
Therefore, the particle will attain 0 velocity at t = 1/12 seconds.
Step 3: Verify the answer
To verify our answer, we can find the velocity of the particle at t = 1/12 seconds using the velocity equation:
v = 12t - 1
v = (12/12) - 1
v = 0
Since the velocity of the particle at t = 1/12 seconds is 0, our answer is correct.
Conclusion: The particle will attain 0 velocity at t = 1/12 seconds.
Solution:
Step 1: Calculate the velocity of the particle
We know that velocity is the derivative of displacement with respect to time. Therefore, the velocity of the particle is given by:
v = ds/dt = 12t - 1
Step 2: Set the velocity equation to 0
To find the time at which the particle will attain 0 velocity, we need to set the velocity equation equal to 0 and solve for t:
12t - 1 = 0
12t = 1
t = 1/12
Therefore, the particle will attain 0 velocity at t = 1/12 seconds.
Step 3: Verify the answer
To verify our answer, we can find the velocity of the particle at t = 1/12 seconds using the velocity equation:
v = 12t - 1
v = (12/12) - 1
v = 0
Since the velocity of the particle at t = 1/12 seconds is 0, our answer is correct.
Conclusion: The particle will attain 0 velocity at t = 1/12 seconds.
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The displacement of a particle starting from rest (at t=0) is given by...
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The displacement of a particle starting from rest (at t=0) is given by s=6t^2-t Find The time in second at which the particle will attain 0 velocity.?
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The displacement of a particle starting from rest (at t=0) is given by s=6t^2-t Find The time in second at which the particle will attain 0 velocity.? 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 The displacement of a particle starting from rest (at t=0) is given by s=6t^2-t Find The time in second at which the particle will attain 0 velocity.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The displacement of a particle starting from rest (at t=0) is given by s=6t^2-t Find The time in second at which the particle will attain 0 velocity.?.
The displacement of a particle starting from rest (at t=0) is given by s=6t^2-t Find The time in second at which the particle will attain 0 velocity.? 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 The displacement of a particle starting from rest (at t=0) is given by s=6t^2-t Find The time in second at which the particle will attain 0 velocity.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The displacement of a particle starting from rest (at t=0) is given by s=6t^2-t Find The time in second at which the particle will attain 0 velocity.?.
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