1it think
this formula will not hold at the instant of v=dv/dx .
when vinst =0 , dx/dt=0 =>dx=0
in the formula for a=dv/dt . we cannot divide the expression by dx .
Hi Tiitians , here is one googly frm my side ...but its a simple one though
we kno that acceleration
a = dv/dt = vdv/dx .....(1)
now consider a particle with a positive velocity at t=0 and a negative acceleration . Assume this negative acceleration to be a constant .
Hence at some t its velocity will be zero.
so frm eqn (1) a =vdv/dx = (0)dv/dx = 0
but is this true / false ???? explain the fact/ contradiction ........
Obviously not for those with whom i hav already discussed it
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2 Answers
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1i think
when we consider that a=dv/dx = vdv/dx we consider dx to be a very small dist and dt to be a very small time . so at time t when velocity is zero , we say that dx/dt=0 as dx = 0
so in the equation a=dv/dt we cannot write a=vdv/dx as then dividing by dx , the eqn is invalid as dx=0 .
