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Do Now

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Objectives K12, K13AP Physics C: Mechanics

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Agenda

1. Review Do Now (5 min)

2. OBJ K12 (20 min)

3. OBJ K13 (20 min)4. FRQ #1 (5 min)

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K12: Solve a differential equation using

separation ofvariablesto determine a

function for a kinematicquantity.

So far, everything we haveseen is of

theform x(t), v(t), and a(t). Then we

just usecalculus to switch betweenthem.

What iftheequations we are givenare notsimply based on time? What if

they arebased on each other ?

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K12: Solve a differential equation using

separation ofvariablesto determine a

function for a kinematicquantity.

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K12: Solve a differential equation using

separation ofvariablesto determine a

function for a kinematicquantity.

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K12: Solve a differential equation using

separation ofvariablesto determine a

function for a kinematicquantity.

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K12 Summary

Useseparation ofvariablesto solve equations

notentirely based on time.

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K13: Determinecomponents ofa vector along

two perpendicular axes.

In physics, two dimensional motion

can bequitecomplicated. Therefore,

wetake advantage ofa special

property oftheuniverse

(independent dimensions) and break

2D motion into componentvectors.

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K13: Determinecomponents ofa vector along

two perpendicular axes.

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K13: Determinecomponents ofa vector along

two perpendicular axes.

Here arethetypical options.

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K13: Determinecomponents ofa vector along

two perpendicular axes.

Remember yourtrig?

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K13: Determinecomponents ofa vector along

two perpendicular axes.

Remember yourtrig?

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K13: Determinecomponents ofa vector along

two perpendicular axes.

How doesthisrelateto position,

velocity, and acceleration?

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K13: Determinecomponents ofa vector along

two perpendicular axes.

You may be asked to identify what

thev and a are doing along a curve.

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K13: Determinecomponents ofa vector along

two perpendicular axes.

Unit Vector Notation:

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K13: Determinecomponents ofa vector along

two perpendicular axes.

To add vectors: add components.

To subtractvectors:subtractcomponents.

To slkdjf vectors, slkdjfcomponents.

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K13: Determinecomponents ofa vector along

two perpendicular axes.

Sampleproblems on theboardif

thereistime.

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K13 Summary

Whatever you need to do to vectors, you can

do by doing it to their components.