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. The velocity of electromagnetic radiation in a medium of permittivity ε₀
  2. The most stable particle in Baryon group is
  3. Equal currents are passing through two very long and straight parallel wires
  4. A small rod of bismuth is suspended freely between the poles of a strong electromagnet.
  5. If the self inductance of 500 turn coil is 125 mH, then the self inductance

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Your email address will not be published.


*