how far? _________ (d) ______________________________________ to get to the store go 2-miles east,...

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How Far? _________ (d) ______________________________________ ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel to the store? __________________ Notes on Motion III How Fast. How Far & How Long

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Page 1: How Far? _________ (d) ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel

How Far?_________ (d)

____________________________________________________________________________

To get to the store go 2-miles east, turn right and go 3-miles south.

How far will you travel to the store?__________________

Notes on Motion III

How Fast. How Far & How Long

Page 2: How Far? _________ (d) ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel

How Far?Units for distance are:

English System

_____________, ______________, ______________

Metric System

_____________, ______________, ______________

In science the most common unit is:

_______________

Page 3: How Far? _________ (d) ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel

How Fast?Speed (v)

__________________________________________________________________________________________

Velocity (v)____________________________________________________________________________________________

If you are traveling north at 65-mph.Your speed is : _________

Your direction is : ____________Your velocity is : ____________

Page 4: How Far? _________ (d) ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel

How Fast?Average Speed (vavg)

____________________________________________

_____________________________________________

Average Speed is over a _______________.

Instantaneous Speed (v)

___________________________________________

___________________________________________

Your speedometer measures ____________________.

Page 5: How Far? _________ (d) ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel

How Fast?Constant Speed (v)

_______________________________________

Constant Velocity (v)_______________________________________________________

Can you have a constant velocity but not have a constant speed?

Can you have a constant speed but not have a constant velocity?

Page 6: How Far? _________ (d) ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel

How Fast?Units for speed and velocity:

English System__________________, __________________

Metric System________________________________________,

_______________________________________

In science the most common unit is:

Page 7: How Far? _________ (d) ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel

How Long?_______ (t)

Units:

__________, __________, __________, __________,__________

In science the most common unit is:

Page 8: How Far? _________ (d) ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel

Solving Problems with Velocity and Speed

In general the equation that relates the speed (or velocity) of an object to the distance it

travels and the time it takes is:

If we need to find the distance from speed and time, we use algebra to solve for d:

If we need to find the time from distance and speed we use algebra to solve for t:

Page 9: How Far? _________ (d) ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel

Solving Problems with Velocity and Speed

We can use a triangle to help us remember these formulas.

Page 10: How Far? _________ (d) ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel

Solving Problems with Velocity and Speed

dv t

Example Problem 1:

A runner finishes the 100-m dash in 9.4-s. What is the average speed of the runner during the race?

Know: Find:

Formula: Solve:

Page 11: How Far? _________ (d) ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel

Solving Problems with Velocity and Speed

dv t

Example Problem 2:

A car travels with a constant velocity north of 45-m/s (100-mph). How far will the car travel in 300-s (5 minutes)?

Know: Find:

Formula: Solve:

Page 12: How Far? _________ (d) ______________________________________ To get to the store go 2-miles east, turn right and go 3-miles south. How far will you travel

Solving Problems with Velocity and Speed

dv t

Example Problem 3:

The circumference of the Earth is approximately 40,000-km. How long would it take you to drive this distance at 320-km/hr?

Know: Find:

Formula: Solve: