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A particle moves along with x-axis.The position x of particle with respect to time t from origin is given by x=bₒ+b₁t+b₂t².The acceleration of particle is
Options
(a) bₒ
(b) b₁
(c) b₂
(d) 2b₂
Correct Answer:
2b₂
Explanation:
Given, x=b₀+b₁t+b₂t²
Also, v=dx/dt=d/dt(b₀+b₁t+b₂t²)
Using (d/dx).xⁿ=nxⁿ⁻¹, we have
v=b₁+2b₂t
The Acceleration is,
a=dv/dt=d/dt(b₁+2b₂t)
=2b₂
Another Explanation:
Distance , x = b₀ + b₁t + b₂t²
velocity , v = (dx / dt ) = b₁ + 2b₂t
Acceleration, α = d²x / dt² = 2 b₂.
Related Questions: - The force of repulsion between two electrons at a certain distance is F.
- Two conducting spheres of radii 5 cm and 10 cm are given a charge of 15 μC each.
- Sound production from tape recorder makes use of
- When ₉₀Th²²⁸ transforms to ₈₃Bi²¹², the number of emitted α and β particles
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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
- The force of repulsion between two electrons at a certain distance is F.
- Two conducting spheres of radii 5 cm and 10 cm are given a charge of 15 μC each.
- Sound production from tape recorder makes use of
- When ₉₀Th²²⁸ transforms to ₈₃Bi²¹², the number of emitted α and β particles
- The radius of curvature of a convave mirror is 24 cm and the imager is magnified
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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