Question

A particle starts from origin moves along x axis with a velocity'v' that varies as v is directly proportional to root x .the velocity dependence of particle on time is proportional to

Answer 1

v∝√x

dx/dt∝√x

dx/√x=dt

√x∝t

v∝t

Answer 2

Answer:

Explanation:

Since, from the question we get that the velocity is directly proportional to the square root of x, so it can be written as, v∝√x .

Again, we know that the velocity is change in distance divided by change in time. So, dx/dt∝√x .

dx/√x=dt.

Now, integrating on both sides we will get that.

2√x+c=t .

So, finally the velocity dependence of particle on time is proportional to the time instant at which the particle is present.

v∝t.