Exercise 41 Page 624

Knowing that an object has kinetic energy when it is in motion, the object's velocity

v

in meters per second is given by a square root function.

v = \frac{2 E}{m}

In this function,

m

represents the mass of the object in kilograms and

E

represents the kinetic energy that the object has in joules. Given a basketball with a mass of

0.6

kilograms, we will first write the function that represents the velocity of the basketball by substituting

m = 0.6

into the equation.

v = \frac{2 E}{0 . 6}

We will now graph this function using a graphic calculator. We first press the

Y =

button and type the function in one of the rows. Notice that the variables given are

v

and

E .

When typing them we should replace

v

with

y

and

E

with

x .

y = \frac{2 x}{0 . 6}

Having written the function, we can push

GRAPH

to draw it.

Note that our graph is in the standard viewing window. We will now push the $WINDOW$ button and change the settings of the viewing window.