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. You must use my height I am 5’3”
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
used in physics: h(t) at? + vot + ho
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 ho = 4.5ft , you may have an initial velocity of around Vo = 89.5mph
32ft
The force of gravity is about a=
S2
See
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)
=
3(32)2 + 131.3t + 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!
Compare the maximum height of your classmate’s baseball to your own. Do you
think the difference is more from the difference in initial height of the bat or in the
speed of the pitch?
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