Kinematics Average Acceleration. Variables In addition to the variables previously used to calculate average velocity (v avg ), we add one more: a- acceleration.

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Presentation transcript:

Kinematics Average Acceleration

Variables In addition to the variables previously used to calculate average velocity (v avg ), we add one more: a- acceleration (m/s 2 ) a avg - average acceleration

Solving for acceleration Acceleration can be found 2 ways: Graphically- read from a Velocity vs. Time graph Mathematically- found using an equation

Graphically Imagine a velocity vs time graph: Consider the SLOPE of this line.

Graphically The slope is Δv/Δt = (10m/s) / (5s) Look at the UNITS of the slope…

Graphically Same units as acceleration.

Graphically The SLOPE of a VELOCITY vs. TIME graph represents the ACCELERATION of the moving object.

Mathematically Formula: The formula looks like the slope of the velocity vs. time graph: That is where it comes from.

Example A shuttle bus slows down with an average acceleration of -1.8 m/s 2. How long does it take the bus to slow from 9.0 m/s to a complete stop.

Example A shuttle bus slows down with an average acceleration of -1.8 m/s 2. How long does it take the bus to slow from 9.0 m/s to a complete stop. Givens: a= -1.8 m/s 2 v i = 9.0 m/sv f = 0 m/s (implied) Unknown: t=?

Example A shuttle bus slows down with an average acceleration of -1.8 m/s 2. How long does it take the bus to slow from 9.0 m/s to a complete stop. Givens: a= -1.8 m/s 2 v i = 9.0 m/sv f = 0 m/s (implied) Unknown: t=? Formula:

Example A shuttle bus slows down with an average acceleration of -1.8 m/s 2. How long does it take the bus to slow from 9.0 m/s to a complete stop. Givens: a= -1.8 m/s 2 v i = 9.0 m/sv f = 0 m/s (implied) Unknown: t=? Formula:

Practice Page 49, Practice B. ALL units will be in meters, seconds, and m/s.