Do NowAnswer the following questions on your Daily

Organizer:1.What is our acceleration when we have free

fall?2.What is the initial velocity of a penny that is

dropped off the Empire State Building?3.A squirrel drops an acorn off a tree.

A. How fast is it going after 2.4 seconds? B. How far has it traveled at that time?

Today’s Agenda

Today’s Agenda

Important Dates & Reminders Welcome Back New Quarter New Opportunity! Homework This WeekExtra Credit for Quarter 2

Will ONLY be through Science Madness Friday: Background Research w/ Bibliography

Grades Slips All grades updated in TeacherEase & provided

to youTutoring today from 4 – 5 PM

Today’s Agenda

Today’s Agenda

Free FallFree fall is when objects

are traveling in the air and the only force acting on them is gravity

Acceleration is constant for the entire fall

Acceleration due to gravity & has a value of -9.8 m/s2

Negative for downwards acceleration

Free FallFor a ball tossed upward, make predictions for the sign

of the velocity and acceleration to complete the chart.

Velocity (+, -, or zero)

Acceleration(+, -, or zero)

When halfway up

When at the peakWhen

halfway down

+ -

zero -

- -

Important Equations for UnitAcceleration, Final Velocity, Time

Distance

d = Vit + ½ at2

a = VF – VI t

Finding VFWe can find final velocity the same exact way we

have been finding it this whole week. Now, we always know that the acceleration for a falling object is -9.8 m/s2.If you see an object is FALLING, I don’t have to

write the acceleration. You should automatically know it.

If an object is DROPPED, it’s initial velocity is zero. If an object is THROWN UP, it does have some

initial velocity and I would have to give it to you for you to find final velocity.

Example: Finding VFMickie dropped a book off of a

building. How fast is it going after 1.7 seconds?

Example: Finding VFMickie dropped a book off of a

building. How fast is it going after 1.7 seconds?What is acceleration?What is initial velocity?

Example: Finding VFMickie dropped a book off of a

building. How fast is it going after 1.7 seconds?What is acceleration? -9.8 m/s2

What is initial velocity? 0 m/s

Example: Finding VFMickie dropped a book off of a

building. How fast is it going after 1.7 seconds?What is acceleration? -9.8 m/s2

What is initial velocity? 0 m/s

-9.8 m/s2 = VF – 0 m/s 1.7 s

Example: Finding VFMickie dropped a book off of a

building. How fast is it going after 1.7 seconds?What is acceleration? -9.8 m/s2

What is initial velocity? 0 m/s

-9.8 m/s2 = VF – 0 m/s 1.7 s

VF = -16.7 m/s

Example: Finding VFJonathan kicks a soccer ball upward

giving it an initial velocity of 17 m/s. What is its velocity after 3.1 s?

Example: Finding VFJonathan kicks a soccer ball upward

giving it an initial velocity of 17 m/s. What is its velocity after 3.1 s?What is the acceleration?What is the initial velocity?

Example: Finding VFJonathan kicks a soccer ball upward

giving it an initial velocity of 17 m/s. What is its velocity after 3.1 s?What is the acceleration? -9.8 m/s2

What is the initial velocity? 17 m/s

Example: Finding VFJonathan kicks a soccer ball upward

giving it an initial velocity of 17 m/s. What is its velocity after 3.1 s?What is the acceleration? -9.8 m/s2

What is the initial velocity? 17 m/s

-9.8 m/s2 = VF – 17 m/s 3.1 s

Example: Finding VFJonathan kicks a soccer ball upward

giving it an initial velocity of 14 m/s. What is its velocity after 3.1 s?What is the acceleration? -9.8 m/s2

What is the initial velocity? 17 m/s

-9.8 m/s2 = VF – 17 m/s 3.1 s

VF = -13.4 m/s

Finding Distance Traveled We can also find the distance an

object travels knowing the acceleration, initial velocity and time using this equation:

d = Vit + ½ at2

Example: Distance Traveled Mickie dropped a book off of a

building. How far has it fell after 1.7 seconds?

d = Vit + ½ at2

Example: Distance Traveled Mickie dropped a book off of a

building. How far has it fell after 1.7 seconds?

d = (0 m/s)(1.7 s) + ½ (-9.8 m/s2)(1.7 s)2

d = Vit + ½ at2

Example: Distance Traveled Mickie dropped a book off of a

building. How far has it fell after 1.7 seconds?

d = (0 m/s)(1.7 s) + ½ (-9.8 m/s2)(1.7 s)2

d = Vit + ½ at2

Example: Distance Traveled Mickie dropped a book off of a building.

How far has it fell after 1.7 seconds?

d = (0 m/s)(1.7 s) + ½ (-9.8 m/s2)(1.7 s)2

d = ½ (-9.8 m/s2)(1.7 s)2

d = Vit + ½ at2

Example: Distance Traveled Mickie dropped a book off of a building.

How far has it fell after 1.7 seconds?

d = (0 m/s)(1.7 s) + ½ (-9.8 m/s2)(1.7 s)2

d = ½ (-9.8 m/s2)(1.7 s)2 d = -14.2 m

d = Vit + ½ at2

Example: Distance Traveled Jonathan kicks a soccer ball upward

giving it an initial velocity of 17 m/s. How high above the ground is it after 3.1 seconds?d = Vit + ½

at2

Example: Distance Traveled Jonathan kicks a soccer ball upward

giving it an initial velocity of 17 m/s. How high above the ground is it after 3.1 seconds?

d = (17 m/s)(3.1 s) + ½ (-9.8 m/s2)(3.1 s)2

d = Vit + ½ at2

Example: Distance Traveled Jonathan kicks a soccer ball upward giving

it an initial velocity of 17 m/s. How high above the ground is it after 3.1 seconds?

d = (17 m/s)(3.1 s) + ½ (-9.8 m/s2)(3.1 s)2

d = 52.7 m + ½ (-9.8 m/s2)(3.1 s)2

d = Vit + ½ at2

Example: Distance Traveled Jonathan kicks a soccer ball upward giving

it an initial velocity of 17 m/s. How high above the ground is it after 3.1 seconds?

d = (17 m/s)(3.1 s) + ½ (-9.8 m/s2)(3.1 s)2

d = 52.7 m + ½ (-9.8 m/s2)(3.1 s)2

d = 52.7 m + -47.1 m

d = Vit + ½ at2

Example: Distance Traveled Jonathan kicks a soccer ball upward giving

it an initial velocity of 17 m/s. How high above the ground is it after 3.1 seconds?

d = (17 m/s)(3.1 s) + ½ (-9.8 m/s2)(3.1 s)2

d = 52.7 m + ½ (-9.8 m/s2)(3.1 s)2

d = 52.7 m + -47.1 m d = 5.6 m

d = Vit + ½ at2

We’re going to do a mix of games for guided practice today •Tag Team•Multiple Choice •Teacher Vs. Class

Tag Team 1: Finding VF and d A ball is thrown straight upward with an

initial velocity of 7 m/s. How long does it take it to reach its maximum height? What is the maximum height the ball reaches?1. Partner 1: Write the acceleration, initial

velocity and final velocity of the ball. Write the equation to find a.

2. Partner 2: Using that, find the time it took to reach the maximum height.

Tag Team 1: Finding VF and d A ball is thrown straight upward with an initial

velocity of 7 m/s. How long does it take it to reach its maximum height? What is the maximum height the ball reaches?1. Partner 1: Write the acceleration, initial velocity

and final velocity of the ball. Write the equation to find a.

1. Acceleration = -9.8 m/s2

2. Initial Velocity = 7 m/s3. Final Velocity = 0 m/s (at the peak, it stops)

2. Partner 2: Using that, find the time it took to reach the maximum height.

Tag Team 1: Finding VF and d A ball is thrown straight upward with an initial

velocity of 7 m/s. How long does it take it to reach its maximum height? What is the maximum height the ball reaches?1. Partner 1: Write the acceleration, initial velocity

and final velocity of the ball. Write the equation to find a.

1. Acceleration = -9.8 m/s2

2. Initial Velocity = 7 m/s3. Final Velocity = 0 m/s (at the peak, it stops)

2. Partner 2: Using that, find the time it took to reach the maximum height. t = 0.71 seconds

Tag Team 2: Finding VF and d A ball is thrown straight upward with an

initial velocity of 7 m/s. How long does it take it to reach its maximum height? What is the maximum height the ball reaches?1. Partner 1: Write the acceleration, time it took

to reach the top & initial velocity. Write the distance equation.

2. Partner 2: Using that, find the height the ball reached.

Tag Team 2: Finding VF and d A ball is thrown straight upward with an initial

velocity of 7 m/s. How long does it take it to reach its maximum height? What is the maximum height the ball reaches?1. Partner 1: Write the acceleration, time it took to

reach the top & initial velocity. Write the distance equation.

1. Acceleration = -9.8 m/s2

2. Time = 0.71 seconds3. Initial Velocity = 7 m/s

2. Partner 2: Using that, find the height the ball reached.

Tag Team 2: Finding VF and d A ball is thrown straight upward with an initial

velocity of 7 m/s. How long does it take it to reach its maximum height? What is the maximum height the ball reaches?1. Partner 1: Write the acceleration, time it took to reach

the top & initial velocity. Write the distance equation. 1. Acceleration = -9.8 m/s2

2. Time = 0.71 seconds3. Initial Velocity = 7 m/s

2. Partner 2: Using that, find the height the ball reached. 1. Height = 4.97 m + -2.47 = 2.5 m

MC 1 Anatole drops a CD off of a cliff. How fast is it going after 2.7 seconds?A. 0 m/sB. 2.7 m/s C. 3.6 m/sD. 26.5 m/s

MC 1 Answer Anatole drops a CD off of a cliff. How fast is it going after 2.7 seconds?A. 0 m/sB. 2.7 m/s C. 3.6 m/sD. 26.5 m/s

MC 2 Entrée throws a football straight

upwards with an initial velocity of 15 m/s. How fast is the can going after 3 seconds? A. -9.8 m/sB. -14.4 m/sC. -29.4 m/sD. -44.4 m/s

MC 2 Answer Entrée throws a football straight

upwards with an initial velocity of 15 m/s. How fast is the can going after 3 seconds? A. -9.8 m/sB. -14.4 m/sC. -29.4 m/sD. -44.4 m/s

MC 3 A penny is dropped from the top of a

tall building. It hits the ground after 5 seconds. How far did the penny fall? A. -24.5 mB. -49.0 m C. -122.5 m D. -245.0 m

MC 3 Answer A penny is dropped from the top of a

tall building. It hits the ground after 5 seconds. How far did the penny fall? A. -24.5 mB. -49.0 m C. -122.5 m D. -245.0 m

MC 4 A frisbee is thrown straight upward

with an initial velocity of 11 m/s. What is its distance in the air after 1.5 seconds? A. 5.5 m B. 11.0 mC. 16.5 mD. 27.5 m

MC 4 Answer A frisbee is thrown straight upward

with an initial velocity of 11 m/s. What is its distance in the air after 1.5 seconds? A. 5.5 m B. 11.0 mC. 16.5 mD. 27.5 m

One brave soul will make up one problem that will ask us to find the FINAL VELOCITY, TIME or DISTANCE. Anyone that can beat me in solving the problem will get 5 raffle tickets.

• On your tables is a Tic-Tac-Toe game. You must do at least two rows, columns or diagonals. You are to work on these independently and write answers and work on your Daily Organizers.

Today’s Agenda

These are to see how well you did on today’s material. As always, this helps me see what we need to review for the next day so do your best