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A bird flies in 4s with velocity of |t-2| m/s in a straight line , where t is time in second . It covers a distance of, A)2m B)4m C)8m D)6m Explain it with solution.?
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A bird flies in 4s with velocity of |t-2| m/s in a straight line , whe...
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A bird flies in 4s with velocity of |t-2| m/s in a straight line , whe...
Solution:
Given, the velocity of the bird is |t-2| m/s.
Let's consider a small time interval of Δt.
Then, the distance covered by the bird in this small interval is given by:
distance = velocity × time
distance = |t-2| × Δt
Now, let's calculate the total distance covered by the bird.
Total distance = ∫0^4 |t-2| dt
Total distance = ∫0^2 (2-t) dt + ∫2^4 (t-2) dt
Total distance = [(2t-t^2)/2]0^2 + [(t^2-2t)/2]2^4
Total distance = 2 + 2
Total distance = 4 meters
Therefore, the bird covers a distance of 4 meters.
Answer: B) 4m
Given, the velocity of the bird is |t-2| m/s.
Let's consider a small time interval of Δt.
Then, the distance covered by the bird in this small interval is given by:
distance = velocity × time
distance = |t-2| × Δt
Now, let's calculate the total distance covered by the bird.
Total distance = ∫0^4 |t-2| dt
Total distance = ∫0^2 (2-t) dt + ∫2^4 (t-2) dt
Total distance = [(2t-t^2)/2]0^2 + [(t^2-2t)/2]2^4
Total distance = 2 + 2
Total distance = 4 meters
Therefore, the bird covers a distance of 4 meters.
Answer: B) 4m
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A bird flies in 4s with velocity of |t-2| m/s in a straight line , where t is time in second . It covers a distance of, A)2m B)4m C)8m D)6m Explain it with solution.?
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A bird flies in 4s with velocity of |t-2| m/s in a straight line , where t is time in second . It covers a distance of, A)2m B)4m C)8m D)6m Explain it with solution.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A bird flies in 4s with velocity of |t-2| m/s in a straight line , where t is time in second . It covers a distance of, A)2m B)4m C)8m D)6m Explain it with solution.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bird flies in 4s with velocity of |t-2| m/s in a straight line , where t is time in second . It covers a distance of, A)2m B)4m C)8m D)6m Explain it with solution.?.
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