0

Guest

Courses New

For the motion of a particle, velocity 'v' depends on displacement x as v=20/(3x-2). If at t=0,x=0 then at what time t, the x=20 ?

For the motion of a particle, velocityย  'v' depends on displacement x as v=20/(3x-2).If at t=0,x=0 then at what time t, the x=20?

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear sindhuja

 v=20/(3x-2)

v= dx/dt=20/(3x-2)

 (3x-2)dx = 20 dt

∫(3x-2)dx = ∫20 dt

intigrate

 3 x2/2 -2x  =20t +C

given at t=0 ,x=0

so C=0

3 x2/2 -2x  =20t

now put x =20t

3*202/2 -2*20 =20t

or t= 30-2 =28 sec

Please feel free to post as many doubts on our discussion forum as you can.
If you find any question Difficult to understand - post it here and we will get you the answer and detailed
solution very  quickly.
 We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.

 All the best.
 
Regards,
Askiitians Experts
Badiuddin

 

Think You Can Provide A Better Answer ?

Other Related Questions on Mechanics

View all Questions ยป

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More