Domain and Range of story problems

Question

An object is dropped from a height of 1700 feet about the ground. The function h= -16t^2 + 1700 gives the object’s height, h, in feet during free fall at t seconds

what is a reasonable domain for the function h?

A reasonable range?

Answer 1

h(t) = -16t^2 + 1700 = 0

t^2 = 1700/16 = 106.25

t=(5/2)sqr17 = about 10.31 when the object hits the ground

domain is 0<t<10.31, the interval [0, 10.31] or exactly [0,2.5sqr17]

range is from 0 to the maximum height [0, 1700]