Madeline fires a bullet horizontally. The rifle is 1.9 meters above the ground. The bullet travels 200 meters horizontally before it hits the ground. What speed did Madeline's bullet have when it exited the rifle?

322.6 m/s

Explanation:

Given that there are two components of position;

x= vot

y component is;

y= 1.9 - gt^2/2

When the bullet hits the ground, y=0

1.9 -gt^2/2 =0

Where g = 10ms^-2

t= √2 × 1.9/10

t= 0.62 secs

Therefore,

x= vot

vo = x/t

Where, x= 200 m

vo= 200/0.62 =

vo= 322.6 m/s

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2