Question

# If the displacement ( y ) of a particle is proportional to ( t^{2} ), that is, if ( y propto t^{2}, ) then what is the initial velocity of the particle?

Solution

( y alpha t^{2} Rightarrow quad y=k t^{2} )

( v=frac{d y}{d t}=2 k t )

Inifial velocity = velouly at ( t=0=2 k(0) )

( =0 quad m mid s )