wk 5 discusslion

This week we've talked about polynomials and their properties. Polynomials show up in the real world a lot more than you would think! Applications can be found in physics, economics, meteorology, and more.

One real-world example of a degree-two polynomial is the projectile motion equation h (t)= - 1 half at t square plus v subscript 0 t plus h subscript 0

Details about this formula can be found at the brainfuse.com website.

For example, if you hit a baseball at shoulder height (say about

4ft, 6 inches - h subscript o equals 4.5ft  you may have an initial velocity of v subscript 0 equals  89.5 mph.   The force of gravity is about a =32f t divided by s square

 We can convert our miles to hour to feet per second (89.5 mph = 131.3 ft/s) and create an equation that would model the height of the ball at time t: 

h(t) = -1 half (32) t square + 131.3 t + 4.5

Pick a baseball team average speed off the bat from this list. Pretend you are on that team and hitting a pitch. Using your height and the information in the table, create your own personalized equation as was done in the example above.

Once you have your equation, find the zeros and the vertex using the techniques covered this week in Chapter 3. Show all your work!