Hannah tests her new sports car by racing Sam, an experienced racer. Both start from rest, but Hannah leaves the starting line 1.00 seconds after Sam. Sam moves with an acceleration of 3.5 m/s2, while Hannah maintains an acceleration of 4.9 m/s2. Find:

(a) Find the time at which Hannah overtakes Sam

(b) the distance she travels before she catches him

(c) the speeds of both cars at the instant Hannah overtakes Sam.