Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The acceleration of a particle is increasing linearly with time t as bt The particle starts from the origin with an initial vel

The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity v_0

The distance travelled by the particle in time t will be ?

Answers (1)

best_answer

@ Ravindra

Given the acceleration  as a function of time:

a(t)=bt

Integrate to obtain the velocity as a function of time.v(t)={\frac{1}{2}}bt^2+C 

 We are told that the constant of integration is V0

v(t)={\frac{1}{2}}bt^2+V_{0}

Integrate, again, to obtain the displacement as a function of time.d(t)=16bt^3+V_{0}t+c

The phrase "starts from the origin" tells us that the integration constant is 0:

d(t)=16bt^3+V_{0}t

Posted by

avinash.dongre

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main Result 2024 Live: JEE April results at jeemain.nta.ac.in likely today; cutoff, rank predictor, update
anam-khan

JEE Main 2024 session 2 final answer key out at jeemain.nta.ac.in; steps to check probable scores
anam-khan

JEE Main Result 2024 Live: Download session 2 final answer key at jeemain.nta.ac.in; rank predictor, cutoff

Latest Question