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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: - A block of mass m is moving on a wedge with the acceleration aᵒ
- A drum of radius R and mass M, rolls down without slipping along an inclined plane
- The sum of the magnitudes of two forces acting at a point is 16 N
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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 block of mass m is moving on a wedge with the acceleration aᵒ
- A drum of radius R and mass M, rolls down without slipping along an inclined plane
- The sum of the magnitudes of two forces acting at a point is 16 N
- The moment of inertia of a uniform circular disc of radius R and mass M about an axis
- The value of coefficient of volume expansion of glycerin is 5 x 10⁻⁴ k⁻¹.
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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