Estimate the average force that a major-league pitcher exerts on the baseball when he throws a fastball. Assume the ball moves in a straight horizontal line with constant acceleration during the pitch. The distance the pitcher moves the ball during a pitch is about twice his arm length, which is about 3.0 ft. The baseball has a mass of 0.010 slugs and it is pitched with a speed of 92 mph.

the part of the wave he is travelling on is the crest

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 .

= initial pressure

= final pressure = 2

= initial volume

= final volume = /4

= initial temperature = 20 c = 20 + 273 = 293 k

= final temperature = ?

using the equation