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Question: The displacement x of a particle moving in one dimension is related to time by the equation t = (√x ...

The displacement x of a particle moving in one dimension is related to time by the equation t = (√x +3), where x is in m and t in s. The displacement, when velocity is zero, is

A

1m

B

2m

C

4 m

D

Zero

Answer

Zero

Explanation

Solution

Here t = √x + 3 or √x = t – 3

or x = (t - 3)2 = t2 – 6t + 9

dxdt=v=2t6=0\frac{dx}{dt} = v = 2t - 6 = 0

or t = 3s

3 = √x + 3 or x =