| ⇦ | 
| ⇨ |
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 particle moves with constant speed v along a circular path of radius r and completes
- A neutron is moving with a velocity u.It collides head on and elastically with an atom
- A disc of radius 0.1 m is rotating with a frequency 10 rev/sec in a normal magnetic
- Two identical flutes produce fundamental notes of frequency 300 Hz at 27° C
- Two resistances 3Ω and 6Ω are connected in parallel
Topics: Motion in Straight Line
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A particle moves with constant speed v along a circular path of radius r and completes
- A neutron is moving with a velocity u.It collides head on and elastically with an atom
- A disc of radius 0.1 m is rotating with a frequency 10 rev/sec in a normal magnetic
- Two identical flutes produce fundamental notes of frequency 300 Hz at 27° C
- Two resistances 3Ω and 6Ω are connected in parallel
Topics: Motion in Straight Line (93)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
18000+ students are using NEETLab to improve their score. What about you?
Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.
Share this page with your friends
Leave a Reply