CORRECTION: wrong units corrected below and added distance for 5 seconds
Speedster displacement= 162 k/hr x t Which equals 162 x 1000/=3600 m/s = 45 m/s 45 x t + (45 x 5) = displacement
Police car x= displacement = x0 + vo t + 1/2 at^2 (x0=0 vo t =0) and it has to equal 45 x t + 225
so
45t +225 = 1/2 at^2
90t +450 = at^2 and a=6
6t^2 - 90t-450=0
t^2 -15t-75=0
Quad formula 15+-sqrt(225+300) / 2 = 18.95 seconds
Hope i did that correctly!