# Motion in One Dimension

## Acceleration

Definition of average acceleration; definition of instantaneous acceleration, with examples; uniformly accelerated motion, with examples.

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Finding acceleration as a function of time from equations for position.

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## Velocity

Ideal particle simplification; definition of average velocity, with examples; definition of instantaneous velocity, with examples; uniform linear motion; speed of rifle bullet example.

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## Acceleration of Gravity

Definition, including equation of motion due to gravity, with examples.

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## One-Dimensional Kinematics

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Relative velocity and acceleration defined; special case of constant acceleration.

Displacement, velocity, and acceleration of objects moving in one dimension. Solution not included.

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4-part problem; finding position, acceleration, and average speed from v vs. t. Solutions are given below the problems.

## Constant Acceleration

Area under acceleration vs. time graph; area under velocity vs. time graph; velocity as the integral of acceleration; position as the integral of velocity, with example.

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## Dimensions of Displacement

Showing consistency of dimensions, and finding new dimensions for scaled-up equation.

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## Half Time vs. Half Distance

5-part 1D kinematics; one person walks half time and runs the other; the other person walks half distance and runs the other.

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## Acceleration Curves

Sketching velocity curves within displacement and acceleration parameters.

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## Collision of Dropped Balls

3-part problem; graphing and finding time to collision for balls dropped consecutively.

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## Car and Motorcycle

One dimensional motion of two vehicles.

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## Displacement

Comparing the displacement of an object and its distance traveled. Solution not included.

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## Vertical Motion

Motion of a ball thrown vertically. Solution not included.

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## Position and Velocity

Determining velocity from a position vs. time graph. Solution not included.

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## Relative Velocity

Difference in speed between two falling stones. Solution not included.

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## Relative Position

Difference in position between two falling stones. Solution not included.

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## Falling Stones

Time interval between two falling stones hitting the ground. Solution not included

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## Falling Balls

Velocities of two vertically thrown balls. Solution not included.

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## Kinematics

Relative motion of two falling stones.

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## Measurement of g

Measuring the acceleration of gravity by timing a falling ball.

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## One-Dimensional Kinematics: Track Event

Motion of two runners in a race.

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## Relative Inertial Frames

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Motion of a falling object in an elevator viewed from multiple reference frames.

## Airplane Against Wind

3-part problem; calculating time for round trip, average velocity, and average speed. Solutions are given below the problems.

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## Motion in One-Dimension

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Position, velocity, and acceleration of a runner.

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Definition of kinematics; coordinate system in one dimension; definitions of position, displacement, average velocity, instantaneous velocity, average acceleration, instantaneous acceleration.

Modelling the motion of a person catching a streetcar.

## Slowing a Speeding Car

Motion of two cars, one at constant velocity and the other decelerating.

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## Rocket Flight

Vertical motion of a rocket.

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## Jumping Man

Motion of and forces acting on a jumping basketball player.

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## Space Shuttle

Average speed of a space shuttle during fuel consumption.

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