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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
- Efficiency of a Carnot engine is 50% when temperature of sink is 500K. In order
- By the succesive disintegration of ₉₂U²³⁸, the final product obtained is ₈₂Pb²⁰⁶, then
- A particle of mass 100g tied to a string is rotated along a circle of radius 0.5 m
- Charge passing through a conductor of cross-section area A=0.3 m² is given
- A carbon film resistor has colour code green, black, violet, gold. The value
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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