JEE Mains 29-Jan-2023 Shift 2 Solved Paper

A car is moving on a circular path of radius 600m such that the magnitudes of the tangential acceleration and centripetal acceleration are equal. The time taken by the car to complete first quarter of revolution, if it is moving with an initial speed of 54‌km∕hr is t(1−e−π∕2) s. The value of t is _______ .