Q8 of 35 Page 55

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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