Module 2: Radical Functions

 

There are real-life situations that involve radical equations. Apply what you have learned in this lesson to help solve the following problem.

 

Try This 4

 

This lacrosse player is preparing to use a sidearm shot.
Photodisc/Thinkstock

In the game of lacrosse, the sidearm shot is sometimes used to get the ball past a defender. A player used a lacrosse stick and took a sidearm shot. The lacrosse ball accelerated from rest to a speed of 60 km/h, or about 17 m/s. The equation   can be used to describe the accelerated motion of the lacrosse ball, where

 

 

vi is the initial velocity in m/s

 

vf is the final velocity in m/s

 

d is the distance the ball travels

 

a is the acceleration of the ball in m/s2

 

Substitute the values of vi = 0 m/s, vf = 17 m/s, and d = 2 m into the equation and simplify. Then solve for the acceleration of the ball using a graphical method. Explain your choice of the function(s) you graphed and how you determined the solution using the graph(s). Remember to include units in your answer.

 

course folder Save your responses in your course folder.

 

Did You Know?

This is a picture of a lacrosse stick and ball.
Hemera/Thinkstock

Lacrosse is thought to be based on the First Nations game baggataway. The game was an important part of community life. Baggataway was used to settle disputes between tribes and to train warriors.

 

The CBC Digital Archives website has videos about the history of lacrosse and its current state in Canada. To find these videos, search the Internet using the keywords “lacrosse CBC archives.” You might find this article particularly interesting: “The incredible revival of lacrosse in Kanesatake.”