unit 2 class notes accelerated physics the kinematics equations (1d equations of motion)

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Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

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Page 1: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Unit 2 Class Notes

Accelerated Physics

The Kinematics Equations (1D Equations of Motion)

Page 2: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Day 8

Review for test

Page 3: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Step #1

Write Down What You Have (Look for “Key” Words)

Page 4: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

“Coming to a stop”

“Starting from rest”

“Coasting”

“Maximum Height”

“Dropped”

v2 = 0

v1 = 0

v1 = v2 = constant

v2 = 0

a = -9.8 m/s2

Page 5: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

“Slowing Down”

“Braking”

“Speeding up”

“Accelerating from rest”

a = - __

a = + __

Page 6: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Step #3

Solve the Equation

Step #4

Make sure your answer makes sense

Page 7: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Some Helpful Tips From the Master

Page 8: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Helpful Tip #1

Choose your “Key Points” in every

problem…and do so wisely.

Page 9: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

“Free-fall”

“Throw up”

v1 = 0

v2 = 0 (at top)

Vertical Problems

1

2

2

1

v1 0

1

2

“Throw-downs”

Page 10: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

“Throw up / Come Down” (throw and catch at same height)

v2 = 0 (at top)

Vertical Problems

2

1 3

t12=t23

v1 =-v3

Page 11: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

“Throw up / Come Down” (throw and catch at different heights)

Use and solve quadratically for “t”

x13 =

2

1

3

2

1

3

x13 =

x 12 ( 9.8)t

2 v1t

Page 12: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Helpful Tip #2

Assign positive and negative to different

directions.

Page 13: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Helpful Tip #3

When solving a quadratic equation, do so with minimal

effort.

Page 14: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Solving a quadratic equation

Choice A Choice B

b b2 4ac2a

Factoring

Choice C

2nd Trace Zero (on graphing calculator)

Unlikely on a physics problem

Page 15: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Helpful Tip #4

Get out of the habit of trying to use “Chris

Farley” when “Leonardo” is

necessary.

Page 16: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

d = rt(Can be used only at

constant speed)

x 12 at

2 v1t

Can be used at constant speeds (a=0) or when

accelerating. Awesome Dude!

Page 17: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Helpful Tip #5

When dealing with a chase problem, use

“New-Look” Leo (built for the chase)

Page 18: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Chase Problems

x2A x2B12 atA

2 v1A tA x1A 12 atB

2 v1B tB x1B

Since the two objects (A and B) end up at the same position by the end of the chase, use …

Page 19: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

But what if…

x2A x2B12 atA

2 v1A tA x1A 12 atB

2 v1B tB x1B

The objects start at different places?

It’s already accounted for here and here

Page 20: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

But what if…

x2A x2B12 atA

2 v1A tA x1A 12 atB

2 v1B tB x1B

The objects start at different TIMES?

You’ll need to use an extra equation relating the two times. Plug this new

equation into the long equation above.

Example: tA = tB + 1

Page 21: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Helpful Tip #6

It is always important to remember that when

something is thrown up or down (or simply falls), the acceleration at ALL times is

constant.

Page 22: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

The acceleration of the ball at EVERY point on this red path (When it’s rising up, when it’s stopped, when it’s falling down) is always -9.8 m/s2.

+

-

Page 23: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

An object thrown up has a constant acceleration at ALL times….

….the acceleration due to gravity

Objects rise and fall in the same amount of time

(assuming no parachute )

t

x

t

v

Constant slope = constant accel.

Page 24: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

Your training is complete. Now go, have some hot tea, and rest for the upcoming

Unit 2 Test

Page 25: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)

TONIGHTS HWComplete Review Worksheet

Page 26: Unit 2 Class Notes Accelerated Physics The Kinematics Equations (1D Equations of Motion)