Question

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?

Answer 1

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]