Question

if velocity of particle is given by v is equal to alpha + beta x square then acceleration is equal to​

Answer 1

v=α+βx²

a=dv/dt= d/dt ( α+βx²)               (Differentiation)

=α+2βx (dx/dt)  

∵ dx/dt=v,

∴ a= α+2βx . (α+βx²)

     = α+ 2αβx + 2β²x²