Q. 84.3( 6 Votes )

# The velocity of a particle moving in the positive direction of X-axis varies as v = a√x where ‘a’ is positive constant. Assuming that at the moment t = 0 the particle was located at x = 0 the value of time dependence of the velocity and acceleration of the particle.

Given: at t = 0 and x = 0 ..1

Now, ..2

Putting 1 in 2, we get:

Integrating both sides:

..3

At t = 0, x = 0 so c = 0 ..4

Putting 4 in 3, we get:

..6

Putting 6 in 1, we get:

So, acceleration is given by:

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