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The velocity v and displacement r of a body are related as v²=kr, where k is a constant. What will be the velocity after 1 second ? Given that the displacement is zero at t=0 (1) √kr (2) kr³÷² (3) k/2r0 (4) data is not suffcient?
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The velocity v and displacement r of a body are related as v²=kr, wher...
Solution:
Given, v²=kr
At t=0, r=0
Differentiating both sides with respect to time t, we get:
2v(dv/dt)=k(dr/dt)
Simplifying, we get:
dv/dt=(k/2r)(dr/dt)
At t=0, r=0, so dr/dt=0
Therefore, dv/dt=0
This means that the velocity at t=0 is zero.
To find the velocity after 1 second, we need to find the displacement after 1 second.
Using the formula v²=kr, we get:
r=v²/k
At t=1 second, r=v²/k
Therefore, v=√(kr)
Hence, the velocity after 1 second is √(kr).
Answer: Option (1) √kr.
Explanation:
- Given v²=kr.
- At t=0, r=0.
- Differentiating both sides with respect to time t, we get dv/dt=(k/2r)(dr/dt).
- At t=0, r=0, so dr/dt=0.
- Therefore, dv/dt=0, which means that the velocity at t=0 is zero.
- Using the formula r=v²/k, we get r=v²/k at t=1 second.
- Hence, the velocity after 1 second is √(kr).
- Therefore, the answer is option (1) √kr.
Given, v²=kr
At t=0, r=0
Differentiating both sides with respect to time t, we get:
2v(dv/dt)=k(dr/dt)
Simplifying, we get:
dv/dt=(k/2r)(dr/dt)
At t=0, r=0, so dr/dt=0
Therefore, dv/dt=0
This means that the velocity at t=0 is zero.
To find the velocity after 1 second, we need to find the displacement after 1 second.
Using the formula v²=kr, we get:
r=v²/k
At t=1 second, r=v²/k
Therefore, v=√(kr)
Hence, the velocity after 1 second is √(kr).
Answer: Option (1) √kr.
Explanation:
- Given v²=kr.
- At t=0, r=0.
- Differentiating both sides with respect to time t, we get dv/dt=(k/2r)(dr/dt).
- At t=0, r=0, so dr/dt=0.
- Therefore, dv/dt=0, which means that the velocity at t=0 is zero.
- Using the formula r=v²/k, we get r=v²/k at t=1 second.
- Hence, the velocity after 1 second is √(kr).
- Therefore, the answer is option (1) √kr.
Community Answer
The velocity v and displacement r of a body are related as v²=kr, wher...
K/2×r
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The velocity v and displacement r of a body are related as v²=kr, where k is a constant. What will be the velocity after 1 second ? Given that the displacement is zero at t=0 (1) √kr (2) kr³÷² (3) k/2r0 (4) data is not suffcient?
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The velocity v and displacement r of a body are related as v²=kr, where k is a constant. What will be the velocity after 1 second ? Given that the displacement is zero at t=0 (1) √kr (2) kr³÷² (3) k/2r0 (4) data is not suffcient? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The velocity v and displacement r of a body are related as v²=kr, where k is a constant. What will be the velocity after 1 second ? Given that the displacement is zero at t=0 (1) √kr (2) kr³÷² (3) k/2r0 (4) data is not suffcient? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity v and displacement r of a body are related as v²=kr, where k is a constant. What will be the velocity after 1 second ? Given that the displacement is zero at t=0 (1) √kr (2) kr³÷² (3) k/2r0 (4) data is not suffcient?.
The velocity v and displacement r of a body are related as v²=kr, where k is a constant. What will be the velocity after 1 second ? Given that the displacement is zero at t=0 (1) √kr (2) kr³÷² (3) k/2r0 (4) data is not suffcient? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The velocity v and displacement r of a body are related as v²=kr, where k is a constant. What will be the velocity after 1 second ? Given that the displacement is zero at t=0 (1) √kr (2) kr³÷² (3) k/2r0 (4) data is not suffcient? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity v and displacement r of a body are related as v²=kr, where k is a constant. What will be the velocity after 1 second ? Given that the displacement is zero at t=0 (1) √kr (2) kr³÷² (3) k/2r0 (4) data is not suffcient?.
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