The derivative of the vertical position is
.. y' = 2/40*(x -50)
so the integral that gives the length of the curve the kite traveled is

It is convenient to let a graphing calculator compute this integral numerically. If you want to do it analytically, a table of integrals can be handy. The indefinite integral is

This evaluates to

feet
Answer:
6 months and 24 days
Step-by-step explanation:
Answer:
63.25 sq. ft
Step-by-step explanation:
the area of fig. =
(½×8×6)+(½×3.14×5²)
= 24 + 39.25
= 63.25 sq. ft