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3. Describing Motion

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

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  1. 3. Describing Motion Includes references to PS#3-1 and 4-1

  2. Picturing Motion • Motion diagrams Ticker Tape illustrating constant velocity * * * * * * * * * * * * * * * * * * Ticker Tape illustrating constant acceleration * * * * * * * * * * *

  3. Picturing Motion • Motion Diagrams • Vectors illustrating constant velocity • Vectors illustrating constant acceleration ---> ---> ---> ---> ---> ---> ---> ---> ---> ---> ---> ---> ---> -> --> ---> ----> -----> ------> -------> --------> --------->

  4. 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

  5. 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)

  6. 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)

  7. 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

  8. 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

  9. 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

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