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Derive second equation of motion by calculus method?
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Derive second equation of motion by calculus method?
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Derive second equation of motion by calculus method?
Derivation of Second Equation of Motion
The second equation of motion is given as:
v = u + at
Step 1: Define Variables
We define the following variables:
- u: Initial velocity of the object
- v: Final velocity of the object
- a: Acceleration of the object
- t: Time taken for the object to travel from initial velocity to final velocity
Step 2: Derive Average Velocity
The average velocity of the object is given by:
avg. velocity = (u+v)/2
Step 3: Derive Displacement
The displacement of the object is given by:
displacement = avg. velocity * t
displacement = (u+v)/2 * t
Step 4: Derive Second Equation of Motion
The second equation of motion is derived by using the following equation:
v^2 = u^2 + 2ad
where, d is the displacement of the object.
Substituting the value of displacement from step 3, we get:
v^2 = u^2 + 2a(u+v)/2 * t
v^2 = u^2 + at(u+v)
Dividing both sides by v-u, we get:
v+u = at
or, v = u + at
Step 5: Conclusion
Thus, the second equation of motion is derived using the calculus method.
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Derive second equation of motion by calculus method?
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Derive second equation of motion by calculus method? 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 Derive second equation of motion by calculus method? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Derive second equation of motion by calculus method?.
Derive second equation of motion by calculus method? 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 Derive second equation of motion by calculus method? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Derive second equation of motion by calculus method?.
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