Question

If the displacement of a particle varies with time as √x= t + 7, then velocity of particle is
A) inversely proportional to x
B) proportional to x
C) proportional to √x
D) inversely proportional to √x

Answer 1

It is immensely easy to solve. take a partial derivative from both sides...

Answer 2

wt then...???

Answer 3

Wait a minute ...

Answer 4

\[\sqrt{x}=t+7 \rightarrow x=(t+7)^2 \rightarrow v=\frac{ dx }{ dt }=2(t+7) \rightarrow v=2\sqrt{x}\]

Answer 5

pkk.....i got it....

Answer 6

Taking partial derivatives of both sides gives
=d/dt(x^1/2)=d/dt(t+7)
=d/dx(x^1/2)dx/dt=1
=1/2x^(-1/2)dx/dt=1
-->dx/dt=2x^1/2

so C can be true...