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The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be?
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The acceleration of a particle is increasing linearly with time t as b...
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The acceleration of a particle is increasing linearly with time t as b...
Explanation:
The acceleration of the particle is given as bt, which is increasing linearly with time t.
Using kinematic equations:
We can find the distance travelled by the particle in time t using the following kinematic equation:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken.
Integrating the acceleration equation with respect to time t, we get the velocity equation:
v = ut + (1/2)bt^2
Integrating the velocity equation with respect to time t, we get the distance equation:
s = ut + (1/2)bt^2
where s is the distance travelled by the particle in time t.
Substituting values:
Substituting the given values, we get:
s = ut + (1/2)bt^2
s = u * t + (1/2) * b * t^2
Hence, the distance travelled by the particle in time t is u * t + (1/2) * b * t^2.
Conclusion:
Therefore, the distance travelled by the particle in time t is u * t + (1/2) * b * t^2.
The acceleration of the particle is given as bt, which is increasing linearly with time t.
Using kinematic equations:
We can find the distance travelled by the particle in time t using the following kinematic equation:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken.
Integrating the acceleration equation with respect to time t, we get the velocity equation:
v = ut + (1/2)bt^2
Integrating the velocity equation with respect to time t, we get the distance equation:
s = ut + (1/2)bt^2
where s is the distance travelled by the particle in time t.
Substituting values:
Substituting the given values, we get:
s = ut + (1/2)bt^2
s = u * t + (1/2) * b * t^2
Hence, the distance travelled by the particle in time t is u * t + (1/2) * b * t^2.
Conclusion:
Therefore, the distance travelled by the particle in time t is u * t + (1/2) * b * t^2.
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The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be?
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The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? 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 acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be?.
The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? 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 acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be?.
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