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

a. When will the object be at 1000ft above the ground?

b. When will the object be 940ft above the ground?

c. What are a reasonable domain and range for the function h?

The answer is

a) 1000=-16t^2+1700, implies t² = - 700 / - 16, and t = 6.61s

b) 970 = - 16t^2+1700, implies t² = - 730 / - 16, and t=6.75s

c)

reasonable domain of h

h is polynomial function, so its domain is R, (all real number)

its range

the inverse of h is h^-1 = sqrt (1700 - t / 16), and its domain is

1700 - t / 16>=0, so t <1700,

the range of h is I = ]-infinity, 1700]