I got
t = 6.614
-16t^2 +1700 = 1000
-16t^2 = -700
t^2 = 43.75
You need to divide by 16 first, before you take the square root.
Domain = what values of time would be used here?
t > 0, since negative time not reasonable. And you probably need to find when the ball hits the ground, since after that time, the ball would be underground.
So the a reasonable domain is from 0 to 10.3078
Range: what values of height seem reasonable?
h > 0, because negative height would mean that the ball was underground.
And ... since the ball was "dropped" from a height of 1700 (vs being "thrown up" from a height) the maximum height would be 1700.
So ... a reasonable range would be from 0 to 1700.
Hope this helps... :)