a system of objects that are not moving with respect to one another

movement in relation to a frame of reference

the length of a path between two points

the direction from the starting point and the length of a straight line from the starting point to the ending point

a quantity that has magnitude and direction

the vector sum of two or more vectors

the ratio of the distance an object moves to the amount of time the object moves

v̅, or the total distance traveled, d, divided by the time, t, it takes to travel that distance

v, the rate at which an object is moving at a given moment in time

a description of both speed and direction of motion

the rate at which velocity changes

the movement of an object toward Earth solely because of gravity

a steady change in velocity

a graph in which the data displayed form straight line parts

a graph in which a curve connects the points that are plotted

11.1 Notes

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__________________________________________: a system of objects that are not moving with respect to one another.

To answer the question of "how fast something is moving?," it depends on the frame of reference you choose to _______________________ the motion.

movement in relation to a frame of reference

Choosing a meaningful frame of reference allows you to describe _________________ in a clear and relevant manner.

the length of a path between two points

When an object moves in a __________________________ line, the distance is the length of the line connecting the object's starting point and its ___________________ point.

SI Units for measuring distance are in ____________________(m)

Very large distances, it's best to measure in _________________________________ (km)

There are ________________m in 1 km

the straight line distance from the starting point to the end point.

Displacement tells us:

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Displacement tells us:

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__________________________ is an example of a vector.

a quantity that has magnitude

a quantity that has magnitude and direction

______________________________ can be size, length, or an amount.

When motion is in a straight line, vectors _____________ and subtract easily.

Two displacement vectors that have the same direction are ______________ together.

Two displacement vectors with opposite directions are ________________________ from each other.

When 2 or more displacement vectors have _______________________ directions, they may be __________________________ by graphing.

The ______________________________________ is the vector sum of two or more vectors.

11.2 Notes

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the total distance traveled divided by the time it takes to travel that distance

Ave. speed = ________________ OR ____ = __________

the rate at which an object is moving at a given moment in time or measured at a particular instant

Symbol for instantaneous speed

•A _________________-_________ graph is a good way to describe motion.

•The _____________ of a line on a distance-time graph is speed.

•Slope in math:

Distance-time graph

•A horizontal line indicates what?

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the speed and direction an object is moving, measured relative to a reference point

••A horizontal line indicates what?

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•Velocity is a ______________

•A change in velocity can be a change in speed, a change in direction, or _________.

Combining Velocities:

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•Combining Velocities:

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Vector addition is used when motion involves:

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11.3 Notes

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___________________ - the speed and direction an object is moving

• measured relative to a ________________________ point (combination of speed and direction-vector)

• Acceleration refers to any _______________ in velocity.

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• Velocity is a vector including both speed and direction, so acceleration can be

• Acceleration applies to any change in an object's ___________________.

• This can either be an increase or decrease in __________________.

• Suppose you're sitting on a bus and it stops. When the light turns green, the bus moves forward. You feel the acceleration as you are pushed back into your seat. The acceleration is the result of an ___________________________ in the speed of the bus. As the bus moves down the street at a constant speed, the acceleration is ________. You no longer feel pushed toward you seat. When the bus approaches a red light, it slows down and it experiences negative acceleration or __________________________.

• Acceleration results from __________________ or ___________________ speed. (There must be a change)

________________________: the movement of an object toward Earth because of gravity

• objects falling near Earth's surface accelerate downward at a rate of _____________ (acceleration due to gravity)

• the velocity of an object in free fall ______________________ to 9.8 m/s .

Acceleration is ______ always a change in speed.

You can accelerate even if your speed is __________________.

If there is a change in _______________________, you are accelerating.

A roller coaster produces acceleration due to changes in both _____________ and ____________________.

• Starts slow, up hill, down hill, around curves, acceleration constantly ________________

• The velocity of an object moving in a straight line changes at a _________________ rate when it is experiencing constant ______________________.

• _______________________________________: a steady change in velocity

• Velocity of the object changes by the same ______________ each second

• Traveling around a circular track describes constant acceleration in the __________

Acceleration can be calculated using the following formula:

• The slope of a speed-time graph indicates ______________________.

• A positive slope shows that the skier's acceleration is _____________________.

___________________________- a graph in which the data form a straight line

• The horizontal part of the graph shows a constant _____________.

• The part of the graph with negative slope shows negative _______________________.

• A distance-time graph of accelerated motion is a _________________.

• An increasing slope means the _____________ in increasing and also, that the ball is __________

__________________________- a curve connects the data points that are plotted

• Acceleration is rarely constant and motion is rarely in a straight line.

________________________ _______________________________: how fast a velocity is changing at a specific moment in time