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A body starts moving with a velocity v'=10m/s. It experiences a retardation equal to 0.2v^2. its velocity after 2 seconds is given by?
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A body starts moving with a velocity v'=10m/s. It experiences a retard...
Calculation of Velocity of a Body
Given Data
- Initial Velocity (v') = 10 m/s
- Retardation (a) = 0.2v^2
- Time (t) = 2 seconds
Calculation
Retardation (a) = 0.2v^2
Using the formula of acceleration (a) = (v - u)/t, where
- v = final velocity
- u = initial velocity
- t = time
Substituting the given values and the formula for retardation, we get:
0.2v^2 = (v - 10)/2
0.4v^2 - v + 10 = 0
Using the quadratic formula, we can find the value of v:
v = (1 ± sqrt(1 - 4*0.4*10))/0.8
v = (1 ± sqrt(-15))/0.8
Since the value inside the square root is negative, there are no real solutions.
Conclusion
Therefore, the velocity of the body after 2 seconds cannot be calculated since the value inside the square root is negative, and there are no real solutions.
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A body starts moving with a velocity v'=10m/s. It experiences a retardation equal to 0.2v^2. its velocity after 2 seconds is given by?
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A body starts moving with a velocity v'=10m/s. It experiences a retardation equal to 0.2v^2. its velocity after 2 seconds is given by? 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 A body starts moving with a velocity v'=10m/s. It experiences a retardation equal to 0.2v^2. its velocity after 2 seconds is given by? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts moving with a velocity v'=10m/s. It experiences a retardation equal to 0.2v^2. its velocity after 2 seconds is given by?.
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