Do Now Answer the following questions on your Daily Organizer: What is our acceleration when we have free fall? What is the initial velocity of a penny that is dropped off the Empire State Building? A squirrel drops an acorn off a tree. How fast is it going after 2.4 seconds? How far has it traveled at that time?

Today’s Agenda Do Now Important Dates Quiz Overview 5 min Do Now Important Dates Quiz Overview 40 min Free Fall Acceleration Exit Ticket

Today’s Agenda Do Now Important Dates Quiz Overview 5 min Do Now Important Dates Quiz Overview 40 min Free Fall Acceleration Exit Ticket

Important Dates & Reminders Welcome Back  New Quarter  New Opportunity! Homework This Week Extra Credit for Quarter 2 Will ONLY be through Science Madness Friday: Background Research w/ Bibliography Grades Slips All grades updated in TeacherEase & provided to you Tutoring today from 4 – 5 PM

Today’s Agenda Do Now Important Dates Quiz Overview 5 min Do Now Important Dates Quiz Overview 40 min Free Fall Acceleration Exit Ticket

Today’s Agenda Do Now Important Dates Quiz Overview 5 min Do Now Important Dates Quiz Overview 40 min Free Fall Acceleration Exit Ticket

Free Fall Free 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 http://www.youtube.com/watch?v=AYz_K3mwq6A&feature=related

Free Fall For a ball tossed upward, make predictions for the sign of the velocity and acceleration to complete the chart. Velocity (+, -, or zero) Acceleration When halfway up When at the peak When halfway down + - zero can also demonstrate the motion for students. Toss a ball up and catch it. Ask students to focus on the spot half-way up and observe the motion at that time. They can then predict the sign for the velocity and acceleration at that point. Then ask students to focus on the peak and, finally, on a point half-way down. Often students believe the acceleration at the top is zero because the velocity is zero. Point out to them that acceleration is not velocity, but changing velocity. At the top, the velocity is changing from + to -. Ask students to explain each combination above. For example, a positive velocity (moving upward) and a negative acceleration (downward) would cause the velocity to decrease.

Important Equations for Unit Acceleration, Final Velocity, Time Distance a = VF – VI t d = Vit + ½ at2

Finding VF We 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 VF Mickie dropped a book off of a building. How fast is it going after 1.7 seconds?

Example: Finding VF Mickie 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 VF Mickie 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 VF -9.8 m/s2 = VF – 0 m/s Mickie 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 VF -9.8 m/s2 = VF – 0 m/s Mickie 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 VF Jonathan kicks a soccer ball upward giving it an initial velocity of 17 m/s. What is its velocity after 3.1 s?

Example: Finding VF Jonathan 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 VF Jonathan 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 VF -9.8 m/s2 = VF – 17 m/s Jonathan 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 VF -9.8 m/s2 = VF – 17 m/s Jonathan 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

Guided Practice 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? Partner 1: Write the acceleration, initial velocity and final velocity of the ball. Write the equation to find a. 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? Partner 1: Write the acceleration, initial velocity and final velocity of the ball. Write the equation to find a. Acceleration = -9.8 m/s2 Initial Velocity = 7 m/s Final Velocity = 0 m/s (at the peak, it stops) 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? Partner 1: Write the acceleration, initial velocity and final velocity of the ball. Write the equation to find a. Acceleration = -9.8 m/s2 Initial Velocity = 7 m/s Final Velocity = 0 m/s (at the peak, it stops) 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? Partner 1: Write the acceleration, time it took to reach the top & initial velocity. Write the distance equation. 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? Partner 1: Write the acceleration, time it took to reach the top & initial velocity. Write the distance equation. Acceleration = -9.8 m/s2 Time = 0.71 seconds Initial Velocity = 7 m/s 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? Partner 1: Write the acceleration, time it took to reach the top & initial velocity. Write the distance equation. Acceleration = -9.8 m/s2 Time = 0.71 seconds Initial Velocity = 7 m/s Partner 2: Using that, find the height the ball reached. 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? 0 m/s 2.7 m/s 3.6 m/s 26.5 m/s

MC 1 Answer Anatole drops a CD off of a cliff. How fast is it going after 2.7 seconds? 0 m/s 2.7 m/s 3.6 m/s 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? -9.8 m/s -14.4 m/s -29.4 m/s -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? -9.8 m/s -14.4 m/s -29.4 m/s -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? -24.5 m -49.0 m -122.5 m -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? -24.5 m -49.0 m -122.5 m -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? 5.5 m 11.0 m 16.5 m 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? 5.5 m 11.0 m 16.5 m 27.5 m

Teacher vs. Class 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.

Independent Practice 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 Do Now Important Dates Quiz Overview 5 min Do Now Important Dates Quiz Overview 40 min Free Fall Acceleration Exit Ticket

Exit Ticket 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 