An object is dropped from the top of a 256 ft tall building

An object is dropped from the top of a 256 ft tall building. The function h(x) = 256 - 16x^2 represents the height, in feet, of the object from x = 0 to x = 4 seconds. Write an expression that represents h^-1 h^-1 Use the expression from part A to determine the time, in seconds, when the object is at a height of 175 feet.

Solution

y=h(x)=256-16x²

switching x and y

x=256-16y²

y^2=256-x

y=sqrt(256-x)/4

h^-1=(sqrt(256-x))/4

b. 175=256-16t^2

256-175=16t^2

81/16=t^2

t=9/4secs