A car initially travelling eastwards turns noth by travelling in a quarter circular path of radius `R` metres at uniform speed as shown in figure. The car completes the turn in `T` second.
`(a)` What is the acceleration of the car when it is at `B` located at an angle of `37^(@)`. Express your a swers in terms of unit vectors `hat(i)` and `hat(j)`.
`(b)` The magnitude of car's average acceleration during `T` second period.