The acceleration of a particle depends on the velocity as a = kv at t

1.	The acceleration of a particle depends on the velocity as a = kv at t = 0, x = 0 and v = 1 m/s. Find position of the particle as a function of time.Class: 11Chapter: Motion in a straight lineSpammers stay away!
Answer» ANSWER: GIVEN a=kv d(V) /dt=kv d(v) /v=k.dt {d(v) /v = {k.dt logv=kt+c put v=1 and t=0 then c=0 logv=kt v=e'kt dc/dt=e'kt dx=e'kt.dt {dx={e'kt.dt x=e'kt/k+c' put x=0 and t=0 c'=-1 Hence X=e'kt/k -1 ans

The acceleration of a particle depends on the velocity as a = kv at t = 0, x = 0 and v = 1 m/s. Find position of the particle as a function of time.Class: 11Chapter: Motion in a straight lineSpammers stay away!

Answer»

ANSWER:

GIVEN a=kv

d(V) /dt=kv

d(v) /v=k.dt

{d(v) /v = {k.dt

logv=kt+c
put v=1 and t=0
then c=0
logv=kt
v=e'kt
dc/dt=e'kt
dx=e'kt.dt
{dx={e'kt.dt
x=e'kt/k+c'
put x=0 and t=0
c'=-1
Hence X=e'kt/k -1 ans

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The acceleration of a particle depends on the velocity as a = kv at t = 0, x = 0 and v = 1 m/s. Find position of the particle as a function of time.Class: 11Chapter: Motion in a straight lineSpammers stay away!

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