| ⇦ | 
| ⇨ |
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 filament bulb (500W,100V) is to be used in a 230V main supply. When a resistance
- A gas of monoatomic hydrogen is bombarded with a stream of electrons
- A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 secs
- A cockroach is moving with a velocity v in anticlockwise direction on the rim
- A carnot’s engine operates with source at 127° C and sink at 27°C
Topics: Motion in Straight Line
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A filament bulb (500W,100V) is to be used in a 230V main supply. When a resistance
- A gas of monoatomic hydrogen is bombarded with a stream of electrons
- A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 secs
- A cockroach is moving with a velocity v in anticlockwise direction on the rim
- A carnot’s engine operates with source at 127° C and sink at 27°C
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