motion distance, displacement speed, velocity, and acceleration

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Motion Distance, Displacement Speed, Velocity, and Acceleration

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Page 1: Motion Distance, Displacement Speed, Velocity, and Acceleration

Motion

Distance, Displacement Speed,

Velocity, and Acceleration

Page 2: Motion Distance, Displacement Speed, Velocity, and Acceleration

Tools to Describe Motion

Language (Text) Diagrams and Maps (Figures) Measurements (Variables) Tables, Graphs and Charts

(Organizers) Equations (Mathematics)

Page 3: Motion Distance, Displacement Speed, Velocity, and Acceleration

Distance (d) & Displacement (∆x) Is a measure of the

length of the path of a moving object.

Is a scalar, since it has no direction.

Units: Meters

Is a change in position of the object and is a measure of the direct distance from start to finish .

Is a vector, since it has direction.

if xxx

Page 4: Motion Distance, Displacement Speed, Velocity, and Acceleration

Motion Motion is a change in position

relative to a frame of reference Speed is the distance traveled

in a given amount of time

Time

ceDisSpeed

tan

t

xx

t

dv if

Page 5: Motion Distance, Displacement Speed, Velocity, and Acceleration

Types of Speed Constant Speed: Is

when speed stays the same. The ratio of d/t is always constant.

Changing Speed: Is when speed changes, the ratio d/t is not a constant

Instantaneous Speed: Is the speed at that moment. Ex. Speedometer reading.

Average Speed: Is total distance / time

Page 6: Motion Distance, Displacement Speed, Velocity, and Acceleration

Units for Speed

The units for speed: meters/second (m/sec) kilometers/hour (km/hr) Miles per hour (mph) is a

non metric unit of speed.

Page 7: Motion Distance, Displacement Speed, Velocity, and Acceleration

Average speed

Total distance divided by the total time

Formula:

t

x

TotalTime

ceTotalDisedAverageSpe

tan

Page 8: Motion Distance, Displacement Speed, Velocity, and Acceleration

Velocity Speed in a given direction Velocities in the same direction

combine by adding Velocities in different

directions combine by subtracting

Page 9: Motion Distance, Displacement Speed, Velocity, and Acceleration

Interesting facts

Rockets are launched in the same direction of the earth’s rotation to get an extra boost of 1800 km/hr to its speed

Likewise airplanes takeoff in the direction of the wind and land against the wind.

Page 10: Motion Distance, Displacement Speed, Velocity, and Acceleration

Questions (Bell ringer)

What is a frame of reference?

Why do we call it so? What is the most common

frame of reference? What is the frame of

reference for the sunset?

Page 11: Motion Distance, Displacement Speed, Velocity, and Acceleration

Frames of Reference (Answers) It is the object or point from which

movement is determined. Since movement is relative to an

object that appears to be stationary.

Earth is the most common frame of reference.

The earth.

Page 12: Motion Distance, Displacement Speed, Velocity, and Acceleration

Questions (Bellringer) What is motion? What is speed? How is it calculated?

What is average speed?

Page 13: Motion Distance, Displacement Speed, Velocity, and Acceleration

Questions (Bellringer)

How is velocity different from speed?

Which two factors determine an object’s velocity?

Page 14: Motion Distance, Displacement Speed, Velocity, and Acceleration

Acceleration The change in velocity Acceleration is measured in

m/sec/sec or m/sec2

Formula is: (final velocity - original

velocity)/time

t

vva if

Page 15: Motion Distance, Displacement Speed, Velocity, and Acceleration

Deceleration vs. Acceleration A decrease in velocity is

deceleration NOT negative acceleration, which is acceleration in the negative direction.

A distance-time graph for acceleration is always a curve

Page 16: Motion Distance, Displacement Speed, Velocity, and Acceleration

Centripetal Acceleration

Acceleration directed toward the center of circular path

Page 17: Motion Distance, Displacement Speed, Velocity, and Acceleration

Questions What is acceleration? What is the shape of a

distance-time graph for acceleration?

What is centripetal acceleration?

Page 18: Motion Distance, Displacement Speed, Velocity, and Acceleration

Momentum Momentum is equal to the mass of an object times its velocity

momentum= mass x velocity

Page 19: Motion Distance, Displacement Speed, Velocity, and Acceleration

Conserving Momentum The law of conservation of momentum states that the total momentum is NOT lost, only transferred

Page 20: Motion Distance, Displacement Speed, Velocity, and Acceleration

Questions What is momentum? What happens to momentum

as the mass of a moving object increases?

What is the formula for momentum?

What is the law of conservation of momentum?