Given:
The given value is
.
To find:
The value of the given expression by using the Binomial approximation.
Explanation:
We have,

It can be written as:

![[\because (1+x)^n=1+nx]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%281%2Bx%29%5En%3D1%2Bnx%5D)


Therefore, the approximate value of the given expression is 1.0002.
We use the formula,

Here, h is the variable represents the height of the flare in feet when it returns to the sea so, h = 0 and u is the initial velocity of the flare, in feet per second and its value of 192 ft/sec.
Substituting these values in above equation, we get
.
Here, t= 0 neglect because it is the time when the flare is launched.
Thus, flare return to the sea in 12 s.
Protons are positive, and neutrons are negative, electrons are neutral. I’m not sure about the rest but I hope that helps for now