We shall use the formula for distance traveled: s = ut + (1/2)at^2 where u = initial velocity t = time a = acceleration.
Because u = 0 (car starts from rest), t = 10 s (travel tme), a = 2 m/s^2 (acceleration), m the di mstance traveled is s = (1/2)*(2 m/s^2)*(10 s)^2 = (1/2)*2*100 = 100