KinematicsHard
Question
A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity ′v′ that varies as v = α√x. The displacement of the particle varies with time as
Options
A.t3
B.t2
C.t
D.t1/2
Solution
dx/dt = α√x
∫1/√x .dx = ∫ α .dt
x = αt2 /2
∫1/√x .dx = ∫ α .dt
x = αt2 /2
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