# V=⅓πd³ Brooklyn Math Tutor

tutorstate@gmail.com

## Tuesday, August 8, 2017

## Monday, January 2, 2017

### New Year Math Problems: (2016! mod 2017) - (2017! mod 2016)=? (2016! mod 2017) - (2017! mod 2018)=?

New Year Math Problems:
(2016! mod 2017) - (2017! mod 2016)=?

(2016! mod 2017) - (2017! mod 2018)=?

(2016! mod 2017) - (2017! mod 2018)=?

## Monday, December 19, 2016

## Friday, October 14, 2016

## Saturday, October 1, 2016

### Physics Problem - What is the Average Power Output of an Engine?

What
is the average power output of an engine when a car of mass

*accelerates uniformly (***M***=const) from rest to a final speed***a***over a distance***V***on flat, level ground? Ignore energy lost due to friction and air resistance. Derive a formula for average power***d****P***in terms of variables: the mass***ₐ***, the final speed***M***, and the distance***V***.***d**

PP

*=***ₐ****P***(***ₐ***,***M***,***V***) ?***d**
Solution:

*=*

**Pₐ**

**W***/*

**t***-*

**K***=*

**Kₒ**

**W***=0*

**Kₒ***=½*

**K***²*

**MV***=½*

**Pₐ***²*

**MV***/*

**t***=*

**V**

**at***½*

**d=***²= ½*

**at**

**Vt***=2*

**t***/*

**d**

**V***=½*

**Pₐ***²*

**MV***/*

**(**2

*/*

**d**

**V****) =**¼

*/*

**MV³**

**d**## Tuesday, September 27, 2016

## Tuesday, July 26, 2016

### Vector Addition

#vector #properties #VectorProperties #sum #VectorSum #VectorAddition #resultant #AddingUp https://t.co/66l3pZC9yv pic.twitter.com/cdEQWhaU28

— TutorState.com (@TutorState) July 26, 2016

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