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The position x of a particle with respect to time t along x-axis is given by x = 9t² – t³ where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +ve x direction?
Options
(a) 54 m
(b) 81 m
(c) 24 m
(d) 32 m
Correct Answer:
54 m
Explanation:
Speed v = dx/ dt = d/ dt (9t² – t³) = 18t – 3t² For maximum speed
dv/ dt = 0 ⇒ 18 – 6t = 0 ⇒ t= 3
⇒Xmax = 81 – 27 = 54
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- An α-particle of energy 5 MeV is scattered through 180⁰ by a fixed uranium nucleus.
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Topics: Motion in Straight Line
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A uranium nucleus ₉₂ U ²³⁸ emits an α-particle and a β-particle in succession.
- An α-particle of energy 5 MeV is scattered through 180⁰ by a fixed uranium nucleus.
- A thermocouple of negligible resistance produces an e.m.f. of 40 µV/⁰C in the linear range
- Two closed organ pipes when sounded simultaneously give 4 beats/second.
- Two lines of force due to a bar magnet
Topics: Motion in Straight Line (93)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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