In t-ball, young players use a bat to hit a stationary ball off a stand. the 140 g ball has about the same mass as a baseball, but it is larger and softer. in one hit, the ball leaves the bat at 12 m/s after being in contact with the bat for 2.0 ms . assume constant acceleration during the hit.

Question is missing. Found on google:

"Part A What is the acceleration of the ball? Express your answer to two significant figures and include the appropriate units.

Part B

What is the net force on the ball during the hit?  

Express your answer to two significant figures and include the appropriate units."

Solution:

A)

The acceleration of the ball is given by

where

v = 12 m/s is the final velocity

u = 0 is the initial velocity (the ball is stationary)

t = 2.0 ms = 0.002 s is the time of contact

Substituting,

B)

The force on the ball can be found by using Newton's second law:

where

m = 140 g = 0.14 kg is the mass of the ball

is the acceleration

Substituting,

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 .