Bell Ringer How many sig figs should be in the answer when adding ? How many sig figs should be in the answer when you have this equation 2.7*5.632*15? What type of numbers have infinite sig figs? True or False: When adding numbers the number with the most sig figs determines how many sig figs should be in your answer. How many sig figs does have? How many sig figs does the number 307 have? All nonzero digits are sig figs.

Motion Where and When Mr. Schlamb

Review Sig Figs All measured quantities have significant digits because they are approximated The number of significant digits determines the precision of the measurement The number of sig figs depends on the smallest unit on the measuring device

Rules for Sig Figs 1.Nonzero digits are significant 2.Final zeros after a decimal point are significant 3.Zeros between tow significant digits are significant 4.Zeros used only as placeholders are not significant

Particle Motion This will not be used much in class unless it helps you. If you want to use it you can but you do not need to. All you do is place a dot where the actual object is Example on board: deceleration, acceleration, constant speed

Coordinate System I like using this more than the particle method It is the equivalent method of using a number line in math Where you start measuring is zero and where you end is the measurement The measurement can be positive or negative

Vectors and Scalars We can also use vectors or scalars to represent motion Vector– has both magnitude (size) and direction Scalar– has just a number such as distance, time, or temperature

Scalars You have been adding scalars together since you knew how to do addition 5+2=7 6+27=33 It is basic addition because there is no direction attached

Vectors Every vector has a magnitude (distance) and direction (up, down, left, right, east, west, north, south, north east, etc.) With out these components it is not a vector If two vectors have the same magnitude they are considered equal

Vectors Example Problem Example a car driving 60 mph heads east for 6 miles to the store. After getting some things at the store it the driver stops at a friends house that is 2 miles west of the store. Draw the two vectors representing the distance the car drove and draw the resultant as a dotted line. How far is the car from the origin?

Answer see board We can answer this problem with the tip to tale method Draw two vectors for each part of the trip in the correct direction and magnitude.

Try this one A marble starts at the origin and rolls 45 meters east. Then it moves 90 meters west. Describe where it ends up in vector notation

Answer Volunteers to put answers on the board at least 2 people

On Your Own Paper A person runs 3 miles east to a friends house. Then the same person runs 6 mile north up a hill next they run 2 miles south down the hill and then turns and runs west for a mile. Draw the vectors to a scale. Where does the person end up in vector notation? Draw the resultant vector.

Answer Volunteers please to put answers on the board

What else can we do? We can also find the angle of displacement and total displacement For example your answer could be a magnitude of 7.8 meters and an angle of 60 degrees

Example Convert the vector given by the coordinates (1.0, 5.0) into magnitude/angle format.

Answer see board

You try on your own Convert the vector (5.0,7.0) into magnitude/angle form.

Answer Volunteers please

A little harder A car drives 60 miles east, then 70 miles north, next 20 miles west, later 10 miles south, and lastly 20 more miles west. Draw the tip to tale model, draw the resultant vector, and convert the resultant into magnitude/angle form.

Answer Volunteers please