Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • A particle is moving along the x-axis under the influence of a force given by At t

A particle is moving along the x-axis under the influence of a force given byF = -5x + 15. At t = 0, the particle is located at x = 6 and is having zero velocity. It takes 0.5 seconds to reach the origin for the first time. The equation of motion of particle can be represented by

Option: 1

x = 3 + 3\cos\pi t
 


Option: 2

x = 3\cos\pi t


Option: 3

x = 3 + 3\sin\pi t

 


Option: 4

x = 3 + 3\cos(2\pi t)


Answers (1)

best_answer

Answer (4)

From equation : k = 5 As at t = 0.5 sec, the particle reaches the origin for the first time.

Substituting t = 0.5 sec. in both equation x = 3 +

3\cos\left ( \pi .\frac{1}{2} \right )=3 not satisfied and x = 3 + 3\cos\: \: \left ( 2 \pi\;\frac{1}{2} \right )=0

Hence, the equation of particle is x = 3 + \: \: \: 3\cos\left ( 2\pi t \right )

Posted by

Pankaj

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

NEET UG 2025: Top government medical colleges with 5 years’ cut-off ranks; AIIMS Delhi most sought-after
anam-khan

NEET UG 2025 information bulletin soon; optional questions removed, exam in OMR pen-paper mode
anam-khan

Aiming for top medical colleges in India? Rank-wise NEET UG cut-offs for MBBS courses

Latest Question