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Q.

A particle moves along x axis in such a way that its coordinate x varies with time t according to the equation x = $A_{0} - A_{1} t + A_{2} t^{2}$ . The initial velocity of the particle is

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a

$A_{0}$

b

$A_{1}$

c

$A_{2}$

d

$- A_{1}$

answer is D.

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Detailed Solution

The velocity of particle is v = $\frac{dx}{dt} = - A_{1} + 2 A_{2} t$

At t = 0, v = -A₁

So, initial velocity is $- A_{1}$

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A particle moves along x axis in such a way that its coordinate x varies with time t according to the equation x = A0-A1t+A2t2. The initial velocity of the particle is