A ball rolls down, an inclied plane and acquires a velocity `v_(r)` when it reaches the bottom of the plane. If the same ball slides without friction and acquires rolling from the same height down an equally inclined smooth plane and acquires a velocity `v_(s)`. Then which of the following statement(s) is/are not correct ?

Options

A. `v_(r)ltv_(s)`, because a work is done by the rolling ball against the frictional force
B. `v_(r)gtv_(s)`, because the angular velocity aquired markes the rolling ball to travel faster
C. `v_(r)=v_(s)`, because kinetic energy of the two balls is same at the bottom of the planes
D. `v_(r)ltv_(s)`, because the rolling ball acquires rotational as well as translational kinetic energy

Answer

A, B, C