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Chapter 3: Lesson 4 - Math
Chapter 3: Lesson 4 - Math
Equations:
Equations:
We are going to expand our available math equations now. It will be helpful to have your equation sheet ready. A copy of the equation sheet is under resource materials on this website and on google classroom. It can also be found HERE.
When talking about motion, we often have an initial and a final velocity. An initial velocity is when the clock reading, or time, is zero. We abbreviate initital velocity with a v and a little subscript i that stands for initial, vi. Final velocity is abbreviated with vf.
We know that the slope of a velocity time graph is acceleration, using y=mx+b format, we have the equation, vf = vi + at. This is also the same as this equation, a = (vf - vi)/t. We just solved for vf and not a.
Lots of Equations:
Lots of Equations:
There are three useful equation that relate displacement to two of the three quantities we use to describe motion, time velocity, and acceleration.
Air resistance will be ignored for many of our problems and discussions for this chapter.
Remember, d is the abbreviation for distance, vf is the final velocity, vi is the initial velocity, and t is time. It is REALLY important to differentiate between the initital and the final velocity. Do not forget to put the i or f after the v.
In the last lesson, we learned that acceleration due to gravity, g, is also an acceleration, a. So we can take the equations that we just learned above, and switch the 'a' for 'g.'
Math Video Help:
Math Video Help:
Click on the video to see me work out some math problems. Pause the video and work out the problem yourself. See if you can get the same answer as I do!
Click on this link to get the math worksheet that I am working on in the video.
When you don't think you have enough givens, be sure to ask yourself these questions before you get frustrated...
Did the object start from rest? If it did then you can put down vi=0 m/s for a given.
Is gravity acting on the object? If it is, then you can put down, g=9.8 m/s2 for a given.
Click on the picture to see some tips and tricks that I have shared with students in the past to help them with the algebra and the physics in chapter 3.
CH 3 Math Tips ad Tricks.pdfCheck Your Understanding:
Check Your Understanding:
Try solving the two physics problem below by using the five steps for solving math problems. Click on the down arrow when you have your answer to check to see if you are correct.
Lets calculate the average acceleration of a car whose velocity changes from 10 m/s to 20 m/s in 8 seconds.
given:
vi=10 m/s
vf=20 m/s
t=8 sec
a=?
a = ∆v/∆t
a=(20-10 m/s) / 8 sec
a=1.25 m/s2
Don't forget to head over to the Chapter Resources web page for more math tips and practice problems. There are sample problems with worked out answers for every chapter!
Don't forget to head over to the Chapter Resources web page for more math tips and practice problems. There are sample problems with worked out answers for every chapter!
Before the Next Class Period:
Before the Next Class Period:
Practice these Math Problems Before Class!
Practice these Math Problems Before Class!
Click on the picture to take you to the practice problems that I will be going over the next time we have class. Remember, you need to try the problems on your own to see where you make your mistakes if you want to learn how to do the math problems on your own.
OK Go - Upside Down and Inside Out
OK Go - Upside Down and Inside Out
OK Go is a music group that is known for their crazy videos.
The music video for "Upside Down & Inside Out" features the band moving about in zero gravity created by the parabolic flight path of a reduced gravity aircraft in concert with the song, performing various stunts otherwise impossible at normal gravity, including the use of props such as laptop computers and tablets, dozens of balls, and paint-filled balloons. Two trained aerialist acrobats, Tatyana Martynova and Anastasia Burdina, also perform during the video, acting as air hostesses from S7 Airlines, and performing various aerial acrobatics.
Watch to see what can happen when you do not have any acceleration due to gravity!
You have finished Lesson 4!
You have finished Lesson 4!
Be sure to head over to google classroom and fill out the exit pass.
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