First Term POW- Due November 3rd!

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Problem Statement:

A particle moves along the y-axis so that its position at time t>=0 is given by the function s(t)=2t³-21t²+60t+6.

1. Find the velocity and acceleration functions of the particle

2. Describe the motion of the particle from 0<=t<=7. Give algebraic justification for your answer.

3. Draw the position, velocity and acceleration functions on the same axis and make connections between the three graphs.

4. Find the velocity and acceleration of the particle at time t=2 seconds and make connections to the graphs.

5. Find where the speed of the particle is increasing and where the speed of the particle is decreasing. Justify your answer.

6. Find when the particle reaches its highest point. Justify your answer.

Please write a report that thoughtfully and completely answers each of the questions above. The format of the report should be as follows:

Introduction or Overview: Your introductory paragraph must include what the purpose of this paper is – what is the major objective of the problem? What question(s) are you trying to answer? What background information is necessary for the reader?

Process, Observations and Results: Answer each of the questions above and tell the reader what process you followed and what you observed using diagrams, graphs and calculations to support your explanations. Describe any relationships, similarities, differences, equivalences or anything interesting and relevant that you found as you went through the process.

Discussion and Reflection: Give your personal reaction to the project. Make connections between this project and other things in your mathematics repertoire, your life, and the world.

Olympiad Location 10/24

You should just come up to the "math hall" on the fourth floor of downs building- we will be placing students in rooms in that hall alphabetically.

Go to homeroom and then come directly upstairs instead of going to your first period class!

See you soon,
Mr. Morgenbesser