An object thrown vertically with

An object thrown vertically with a speed nu_0 reaches a height h at time t, where h = nu_0^t - 1/2 gt^2 Write and test a function that computes the time t required to reach a specified height h, for a given value of nu_0. The function's inputs should be h, nu_0 and g. Test your function for the case where h = 100 m, nu_0 = 50 m/s and g = 9.81 m/s^2. Interpret both answers