9) Zane has an elastic water balloon launcher that can fire balloons at an angle of [38.0o] from the surface of the ground. If the initial velocity is 25.0 m/s, find how far away are the balloons are from the launcher when they hit the level ground again.

127.6 m

Explanation:

Given that  Zane has an elastic water balloon launcher that can fire balloons at an angle of [38.0o] from the surface of the ground. If the initial velocity is 25.0 m/s,

The horizontal initial velocity will be:

U = 25cos38

U = 19.7 m/s

To find how far away are the balloons are from the launcher when they hit the level ground again, we will first calculate the total time spent before using the range formula

To calculate the total time, let's use the formula below:

T = 2U/g

T = (2 × 25)/9.8

T = 50/9.8

T = 5.1s

Range = UT

Since horizontal acceleration = 0

Range = 25 × 5.1

Range = 127.55 m

Therefore, the balloons are approximately 127.6m away from the launcher when they hit the level ground again

its a 5.5 n

glad that

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 .