Question

A particle is located at x=0 at time t=0 start moving along positive x axis with velocity v that varies as v=$√x . here $ is constant. The displacement of particle varies with time as. a)t. b)√t. c)t^2. d)t^3​

Answer 1

Answer:

→   c) t²

Explanation:

v = $√x

dx/dt = $√x

dx/√x = $ dt

∫dx/√x = ∫$ dt

2√x = $ t + c , t = 0 at x = 0 , ∵ c = 0

√x = $ t /2

x = $² t² /4

The displacement of particle varies with time as →   c) t²