Charlie brown kicks a football at 22.5 m/s at 33.0. how far has the ball move horizontally when it reaches its highest point (unit m)

23.6 m

Explanation:

When the ball reaches its highest point, the vertical velocity is 0.  First, find the time it takes to reach the highest point.  In the y direction:

v = at + v₀

0 m/s = (-9.8 m/s²) t + (22.5 sin 33.0° m/s)

t = 1.25 s

Now find the horizontal distance traveled in that time.  In the x direction:

x = x₀ + v₀ t + ½ at²

x = (0 m) + (22.5 cos 33.0° m/s) (1.25 s) + ½ (0 m/s²) (1.25 s)²

x ≈ 23.6 m

The ball moves approximately 23.6 meters horizontally when it reaches its highest point.

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 .