Motion in 1d
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Motion in 1D. From the Simpsons. Imbalance of forces. We have talked a lot about Forces being balanced. When forces are unbalanced it results in the object accelerating. Distance.

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Motion in 1d

Motion in 1D

From the Simpsons


Imbalance of forces
Imbalance of forces

  • We have talked a lot about Forces being balanced.

  • When forces are unbalanced it results in the object accelerating.


Distance
Distance

  • Any time an object moves it moves a distance. In the picture the Simpson family has moved a distance from their house.

  • This is measured in meters, and is always positive.

  • A scalar quantity


Displacement
Displacement

  • The change in the position of the particle

  • Homer gets up from the couch and goes to the refrigerator. Then he comes back. His displacement is zero

  • Measured in meters

  • A vector quantity


Displacement example

B

A

Displacement Example

  • Homer is chasing Bart around the house. He catches him at point B, What is the distance and displacement?


Speed
Speed

  • Think of your car

  • Speed is change in distance over the change in time.

  • Measured in Meters/sec

  • Always positive

  • A scalar quantity


Velocity
Velocity

  • Like speed, but with another component: Direction

  • Measured in m/s

  • A vector Quantity

  • Velocity is important when you are trying to go to a specific destination.


Velocity formula
Velocity Formula

V = displacement change in time


Velocity problem
Velocity Problem

  • Marge leaves from the store. She travels 1 km for 10 m/s west. Then she needs to pick up the pace and get home before Homer does. She increases her velocity to 20 m/s west for 1 km. What is her average velocity


Acceleration
Acceleration

  • Is what happens when you change velocity over time.

  • Measured in m/s2

  • A vector quantity

  • Is the result of imbalanced forces

  • Can result when

    • You speed up/ slow down

    • Turn

  • We assume that this is uniform

  • Has a sign (+ or -)



Sideshow bob has escaped
Sideshow Bob has escaped

  • Bart gets on his bike to escape the madman and goes from rest to 10 m/s in 10 seconds. What is his average acceleration


Braking
Braking

  • Marge is moving at 10 m/s when she has to hit the brakes to avoid a boy on a skateboard. How long does it take her to stop if her average acceleration is -5 m/s2


Free fall
Free Fall

  • Free fall is another example of 1D motion just in the Y direction

  • The acceleration in these problems is known:

    • -9.8 M/S2

    • The acceleration due to gravity

    • Typically seen as a negative value due to the fact that gravity pulls down



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