Imp Fireworks Unit

Fireworks

California Academy of Mathematics and Science
05/06/11

In the Fireworks unit, a soccer squad wants to fire a bunch of rockets into the air to keep an eye on the schools championship. The rockets go away be fired at the top of a one hundred sixty foot brood at an angle of 65 degrees, and will be modified so that they rise 92 feet with each second. The soccer team wants the rockets to actuate once they nominate the maximum point of their trajectory, and so the team doctor hold ofs to know how long it will pip for the rockets to reach their maximum height and reach the ground so that they could company their timing device. Also, for the spectators to get the best view of the fireworks, they will need to know how high that maximum point is. In arrange to protect the spectators from the fireworks, they will also need to calculate how farther the rockets will land from the towers base so that they could fence off the area. So in summary, the soccer teams demand to grow:
1. How high the rockets will go.
2. How long it will bear before the rockets reach their maximum height.
3. How long it will take before the rockets reach the ground.
4. How far the rockets will travel from the towers base.
A friend of the soccer team has given them hints on how to find the answers to these questions.



The friend says that the function h(t)=160 + 192t 16t2 will give the answers to psyches 1-3 and that d(t)=92t ÷ tan 650 will give the answer to Question 4. That was all of the hints the friend would give, and so now the soccer team has to figure out what t represents and how to operate the function h(t)= 160 + 92t 16t2.
There are actually two ways to solve the function h(t)=160 + 92t 16t2: using algebra or a graphing calculator. To find the answers on a graphing calculator, you insert the function and adjust your window so that you get a graph that looks like a big hill or rollercoaster. You then trace the acme of the graph (which is basically the middle of the curved graph) to its maximum...If you want to get a full essay, order it on our website: Ordercustompaper.com



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