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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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Topics: Motion in Straight Line
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A solid sphere, disc and solid cylinder all of the same mass and made up of same material
- If the binding energy of the electron in a hydrogen atom is 13.6 eV, the energy
- The e.m.f. of a battery is 2 V and its internal resistance is 0.5 Ω. The maximum
- An aeroplane is flying horizontally with a velocity of 216 km/h at a height of 1960 m.
- Dimensional formula of magnetic field in terms of mass M, length L
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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