3. Describing Motion

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# 3. Describing Motion - PowerPoint PPT Presentation

3. Describing Motion. Includes references to PS#3-1 and 4-1. Picturing Motion. Motion diagrams. Ticker Tape illustrating constant velocity. * * * * * * * * * * * * * * * * * *. Ticker Tape illustrating constant acceleration.

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### 3. Describing Motion

Includes references to

PS#3-1 and 4-1

Picturing Motion
• Motion diagrams

Ticker Tape illustrating constant velocity

* * * * * * * * * * * * * * * * * *

Ticker Tape illustrating constant acceleration

* * * * * * * * * * *

Picturing Motion
• Motion Diagrams
• Vectors illustrating constant velocity
• Vectors illustrating constant acceleration

---> ---> ---> ---> ---> ---> ---> ---> ---> ---> ---> ---> --->

-> --> ---> ----> -----> ------> -------> --------> --------->

Speed, Distance, Time
• Speed is a scalar quantity. A quantity that has only magnitude. (a number plus a unit)
• For example: 10 mi/h, 12 km/h, 5 m/s
• Average Speed: The ratio of the total distance divided by the time.
• Average Speed = distance / time
Velocity, displacement, time
• Velocity is a vector quantity. A quantity that has both magnitude and direction. (A number, a unit, and a direction)
• For Example: 6.5 m/s, East
• Average Velocity: The ratio of the change in position to the time interval during …
• v(ave) = displacement / time
• displacement = d(f) - d(i) OR d - d(o)
Acceleration, /\v, time
• Acceleration is a vector quantity. A quantity that has both magnitude and direction
• For Example: 12 mi/h/s, East and
• +3 m/s/s which means 3 m/s/s forward
• Average Acceleration: The change in average velocity divided by time
• Acceleration = /\v / t
• And /\v = v(f) - v(i) OR v - v(o)
What’s up with m/s/s?
• A unit of acceleration is a change in velocity (I.e. m/s) divided by time (I.e. s)
• When a fraction like m/s is divided a value like s, the rule says to invert and multiply
• So a unit like m/s/s may be written as m/s^2, where the m/s is being divided by the second, and because of the invert and multiply rule for fractions its m/s^2
Working with PS#3-1
• Let s represent speed, v(ave) may be used
• 1a-e, s = d / t
• 2a-e, d = s * t
• 3a-e, t = d / s
• 4a-e, v(ave) = d / /\t, bold type = vector
• 5a-e, /\t = d / v(ave)
• 6a-e, d = v(ave) * /\t
Working with PS#4-1
• 1a-e, a(ave) = /\v / /\t
• 2a-e, /\v = a(ave) * /\t
• 3a-e, /\t = /\v / a(ave)
• 4a-e, a(ave) = [v - v(o)] / /\t
• 5a-e, v = a * /\t + v(o)
• 6a-e, v(o) = v - a * /\t