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Chapter 2: Motion in One Dimension

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Chapter 2: Motion in One Dimension

- Motion along a straight line
- Motion
- Position and Displacement
- Average velocity and average speed
- Instantaneous velocity and speed
- Acceleration
- Constant acceleration: A special case
- Free fall acceleration

Displacement is a vector quantity. It has both a direction and magnitude!

- Everything moves!
- Classification and comparison of motion kinematics
- Simplification
- Motion along straight line
- Forces cause motion
- Moving object is a particle or moves like a particle

Displacement

- Average velocity
- Average speed
- Instantaneous velocity

Average acceleration

Instantaneous acceleration

Constant acceleration

An elevator is initially stationary, then moves upward (which we take the positive direction of x), and then stops. Plot v as a function of time.

- x(t) curve for an upward moving elevator cab
- v(t) curve for the cab. Note v = dx/dt!
- a(t) curve for the cab. Note a =dv/dt!

- Integration of acceleration
- Indefinite integral or anti–derivative
- Constant of integration

You will learn about this in integral calculus!

- v=v0-gt
- h-h0=v0t-gt2/2