A bit of mud stuck to a bicycle's front wheel of radius r detaches and is flung horizontally forward when it is at the top of the wheel. The bicycle is moving forward at a speed v and it is rolling without slipping. The horizontal distance travelled by the mud after detaching from the wheel is:

Options

A. `sqrt(2rv^(2)//g)`
B. `sqrt(8rv^(2)//g)`
C. `sqrt(4rv^(2)//g)`
D. `sqrt(16rv^(2)//g)`

Answer

D