A car is travelling with linear velocity v on a circular road of radius r. If it is increasing its speed at the rate of `a` metre/`sec^2`, then the resultant acceleration will be

Options

A. `sqrt(((v^(2))/(r^(2)) - a^(2) ))`
B. `sqrt(((v^(4))/(r^(2)) + a^(2) ))`
C. `sqrt(((v^(4))/(r^(2)) - a^(2) ))`
D. `sqrt(((v^(2))/(r^(2)) + a^(2) ))`

Answer

B