(a) A car moves around a circular arc subtending an angle of `60°` at the centre. The car moves at a constant speed `u_(0)` and magnitude of its instantaneous acceleration is `a_(0)`. Find the average acceleration of the car over the `60°` arc.
(b) The speed of an object undergoing uniform circular motion is `4 m//s`. The magnitude of the change in the velocity during 0.5 sec is also `4 m//s`. Find the minimum possible centripetal acceleration (in `m//s^(2))` of the object.

Answer

(a) `lt ltagt gt = (3)/(pi) a_(0)` (b) `8.37 m//s^(2)`