First slide

Instantaneous velocity

Question

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

Easy

A

$A_{0}$
B

$A_{1}$
C

$A_{2}$
D

$- A_{1}$

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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