A particle moves a distance x in time t according to equation x = (t + 5)⁻¹

A Particle Moves A Distance X In Time T According Physics Question

A particle moves a distance x in time t according to equation x = (t + 5)⁻¹. The acceleration of particle is proportional to

Options

(a) (velocity)^3/2
(b) (distance)^2
(c) (distance) ^ –2
(d) (velocity) ^ 2/3

Correct Answer:

(velocity)^3/2

Explanation:

x = 1 / t + 5
v = dx / dt = -1 / (t + 5)²
a = d²x / dt² = 2 / (t + 5)³ = 2x³
Now, 1 / (t + 5) ∞ v½
1 / (t + 5)³ ∞ v³/² ∞ a

Related Questions:

  1. An oscillator circuit consists of an inductance of 0. mH and a capacitor of 20 μF.
  2. A spherical body of emissivity e=0.6, placed inside a perfectly black body is maintained
  3. The parallel beams of monochromatic light of wavelength 4.5 x10⁻⁷ m passes through
  4. A particle of mass M is executing oscillations about the origin on the x-axis.
  5. A particle of mass 100g tied to a string is rotated along a circle of radius 0.5 m

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.

NEETLab Mobile App

Share this page with your friends

1 Comment on A particle moves a distance x in time t according to equation x = (t + 5)⁻¹

Leave a Reply

Your email address will not be published.


*