We are standing on the top of a 128 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is h ( t ) = − 16 t 2 + 32 t + 128 . What is the highest point that the object reaches?

h(t) = -16 + 32t + 128

h(t) = 128 feet

128 =  -16  + 32t + 128

-16 + 32t + 128 - 128 = 0

-16 + 32t  =

-16  = - 32t

divide through by 16t

  -16/ 16t      =    -32t/16t

   t =  2

t = 2 seconds

Step-by-step explanation:

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

a

step-by-step explanation: