Do Now warm-up prompt

“There are two ways to live your life - one is as though nothing is a miracle, the other is as though everything is a miracle.”

- Einstein

Portrait of Galileo

What did Galileo teach the world about falling bodies?

Galileo (1564 - 1642)

Credit: Original portrait by Justus Sustermans painted in 1636.

Questions to Ponder

1. Describe the motion of a falling body.

2. What are the forces affecting the motion of a falling body?

3. In the absence of air friction, how would the acceleration of a large mass compare with the acceleration of a small mass?

Free Fallin'

Snowboarder pulling a trick in the air

[Flash]

http://www.tompetty.com/

Video Instruction

showmethephysics.com

Slideshow

Fill in the Blank Notes

I. Motion of objects moving freely under the force of gravity.

Freefall - falling where the only force is gravity

Man in freefall
Geek asking a question

“Do the examples below show freefall?”

Maple leaf falling
Guy jumps from the 3rd floor onto a tree. Wild stuff

Free Fall?

Portrait of Galileo

Galileo (1564 - 1642)

Credit: Original portrait by Justus Sustermans painted in 1636.

Leaning Tower of Pisa

[Flash]
Rutgers U.

Click on the Arrow

Click Here

Free Fall
D vs. t Plot

Rutgers U.

Distance and Time
Rutgers U.

(Roll your mouse over this)

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Show Me The Physics

Gravity/Moon
Feather & Hammer

NASA

showmethphysics.com

Meet Galileo Galilei — the physicist behind this discovery

Galileo Galilei (1564-1642): falling bodies, the acceleration of gravity g=9.8 m/s², and his life story

All objects falling near the surface of the earth accelerate at a constant rate of -9.8 m/s²

(neglecting air resistance)

Acceleration diagram

g = -9.8 m/s²

Rounding off g we get -10 m/s²

Ex) An Object Thrown Upward at +40 m/s

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Show Me The Physics

Given

An object is thrown up at a velocity of 30 m/s.
About how long will it take to hit the ground?

↓

6 seconds

V (m/s) Time (sec)
300
201
102
03
-104
-205
-306
Draw the V vs t Plot
V vs t plot answer

A. Motion Diagram for Free Fall

On any planet or moon

Acceleration due to gravity is CONSTANT near the surface of any planet or moon.

Given Velocity vs time slopes for two worlds

Label the slope pictured above that could be Jupiter? Moon?

↓

Top Line: Jupiter

Bottom Line: Moon

D vs t - Free Fall

Given Distance vs time graph for free fall

A ball is thrown upward.
What's the acceleration due to gravity at the peak?

↓

-9.8 m/s²

AP Question

Given

Compare the displacement of an object dropped during its first second with its displacement after 3 seconds.

Δd = Vit + ½aΔt2

Δd = ½aΔt2

↓

9 times greater

Effect of Mass on Falling Bodies

Show Me The Physics YouTube Channel

A skydiver in a blue jumpsuit leaps from an open airplane door high above clouds and farmland NYSSLS Reading Passage icon

NYSSLS Reading Passage · 1D Motion

The Physics of the Plunge: Force, Acceleration, and Terminal Velocity

Open Reading Passage → Regents Practice Version →

Check Your Understanding

5 quick questions — pick an answer to see if you’re right.

1. What is freefall?

2. Ignoring air resistance, a heavy ball and a light ball are dropped together. How do their accelerations compare?

3. Using g ≈ −10 m/s², about how long does a ball thrown straight up at 30 m/s take to return to the thrower's hand?

4. A ball is thrown straight upward. What is its acceleration at the very top of its path?

5. An object is dropped from rest. How does its displacement after 3 s compare with its displacement after 1 s?

NYSSLS Regents Practice · Kinematics · Free Fall Investigation

Measuring Reaction Time With a Falling Ruler

Students measured their reaction times. One student holds a meter stick vertically; a partner holds her fingers open at the 0-cm mark. Without warning, the stick is released and the partner catches it as quickly as possible. The distance the stick falls before being caught is used to find reaction time. Air resistance is negligible.

Table 1: Catch Distances

StudentDistance Fallen (m)
Jordan0.20
Priya0.15
Malik0.30

What was Jordan’s reaction time?

▶ Want a challenge? Open 6 more Regents-style questions  (harder · mixed formats)

Challenge score: 0 / 6

Multiple choice

C1. Which student had the fastest reaction time?

Substitute values

C2. Substitute numerical values into a mathematical representation that can be used to determine Priya’s reaction time. Then calculate her reaction time.

t = √( 2( m)( m/s2) ) = s
Support or Refute · Justify

C3. A student makes the following claim.

Claim: Malik let the stick fall twice as far as Priya, but his reaction time was less than 1.5 times Priya’s.

Place a check mark in either the Support or Refute box. Justify your response using a mathematical relationship.

Multiple choice

C4. Which graph best represents the stick’s speed versus time as it falls?

Determine the value

C5. Determine the speed of the meter stick at the instant Malik catches it.

v = m/s
Constructed response

C6. The students want to print a scale on the meter stick that reads reaction time directly. Explain why marks for equal time intervals (0.05 s, 0.10 s, 0.15 s, 0.20 s) would not be equally spaced along the stick, and describe how the spacing changes.