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. If a small sphere is let fall vertically in a large quantity of still liquid of density
  2. A transistor is operated in common-emitter configuration at Vᵥ = 2 V such that a change
  3. An open knife edge of mass 200g is dropped from height 5m on a cardboard
  4. A circular disc of radius 0.2 meter is placed in a uniform magnetic field of induction
  5. Two racing cars of masses m₁ and m₂ are moving in circles of radii

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Your email address will not be published.


*