The equation of the height as a function of time for this case is given by: h (t) = - 16t ^ 2 + 10t + 100 By the time the egg hits the ground we have: -16t ^ 2 + 10t + 100 = 0 We look for the roots of the polynomial: t1 = -2.2069555463432966 t2 = 2.8319555463432966 As it is about time, we use the positive root: t = 2.83 s Answer: it hits the ground at: t = 2.83 s