warm up (page 21) 1. if olivia drives at 68 mph for 5 hours, how far did travel? 1. mrs. ward is...

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Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break. If she travels at 70 mph for 24 hours, would she make it to WA? Why or why not? (p.s. How far do you think Washington is? Think critically!!!)

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Page 1: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours,

how far did travel?

1. Mrs. Ward is taking a trip to Washington state over the summer break. If she travels at 70 mph for 24 hours, would she make it to WA? Why or why not? (p.s. How far do you think Washington is? Think critically!!!)

Page 2: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Announcements/Agenda

We need to review and complete our stations from yesterday.

Velocity and Acceleration Notes and Practice today

Page 3: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Speed it up!

Page 4: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Velocity: What is it?Velocity is a speed in a specific

direction.

Formula: v= d/t + direction

Examples of velocities:30 m/s to the left45 mi/hr west18 km/s up

Page 5: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Velocity Example ProblemsMejde was taking a rocket ship to his home in

outerspace. If the rocket travels 900 km in 2 minutes towards the sun, what is his velocity?

Ms. Britain is driving North to her parents’ home in New Hampshire. If she drives 720 miles for 12 hours, what is her velocity?

Page 6: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

REMEMBER!!!!!!!Solve Velocity problems JUST LIKE SPEED problems. Just add in a DIRECTION.

Page 7: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Speed and Velocity….http://

www.youtube.com/watch?v=DRb5PSxJerM

Page 8: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

AccelerationAcceleration is a change in velocity over time

Page 9: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

What two components make

up velocity?

Page 10: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Velocity

Speed Direction

Page 11: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

AccelerationDef.: Change in _________ over ___________Can be change in speed or direction (speed up, slow down, or change direction)

Page 12: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

AccelerationDef.: Change in _velocity_ over __time____Can be change in speed or direction (speed up, slow down, or change direction)

Page 13: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Is this ball accelerating

?Yes! Because the direction is changing.

Page 14: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Cars B and C!

ABC

Page 15: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Acceleration is not just a change in velocity, it’s how fast that

change happens.

Page 16: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Car C!

ABC

Page 17: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Discovery Education Videohttp://player.discoveryeducation.com/index.cf

m?guidAssetId=A04DA40D-810B-4057-B333-7752AF27FAA2&blnFromSearch=1&productcode=US

Page 18: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

To measure it, you must know the initial velocity, the final velocity,

and the time it takes to make the change.

Page 19: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

AccelerationDef.: Change in velocity

Can be change in speed or direction

(speed up, slow down, or change direction)

Acceleration = ∆v/ t

Page 20: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Acceleration•Initial Velocity –Object’s velocity when you start measuring acceleration.

•Final Velocity –Object’s velocity when you finish measuring acceleration.

- Greek letter delta – “change”

Page 21: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Acceleration = change in velocity

time

a= vt

The unit for acceleration is m/s2.

Page 22: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

v is the difference between the final velocity (vf) and the

initial velocity (vi).

v = vf - vi

Page 23: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

AccelerationDef.: Change in velocity

Can be change in speed or direction

(speed up, slow down, or change direction)

Acceleration = ∆v/ t∆v = vf – vi

Page 24: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Example 1A roller coaster’s

velocity at the top of a hill is 10m/s. Two seconds later it reaches the bottom of the hill with a velocity of 26m/s. What is the acceleration of the roller coaster?

Page 25: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Answervf = 26 m/svi = 10 m/s t = 2 s

Acceleration = ∆v/ ta = 26m/s – 10m/s

2 sa = 16m/s

2sa = 8m/s/s or 8m/s2

Page 26: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Examples 2-4 – Try them!2. A car travels at 60 miles per hour

around a curve. Is the car accelerating?

3. A car travels in a straight line at 60 mi/hr. Is the car accelerating?

4. A car goes from 0 mph to 60 mph in 6 seconds. What’s the car’s acceleration?

Page 27: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Answers:1. Yes! Because it’s changing direction.2. No! It’s not changing speed or direction.3. -vf = 60 mph

vi = 0 mph t = 6 s-a = vf – vi

t-a = 60 – 0 mph = 10 m/s2

6 s

Page 28: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Graphing Velocity vs. Time

Constant acc. No acc. Increasing acc.

Page 29: Warm Up (Page 21) 1. If Olivia drives at 68 mph for 5 hours, how far did travel? 1. Mrs. Ward is taking a trip to Washington state over the summer break

Exit TicketWhat is the unit of acceleration?

Solve these problems:1.A car is traveling at a velocity of 24 km/hr west

and increases to a speed of 50 km/hr west in 4 seconds. What is the car’s acceleration?

2.Jada is walking to the store at a velocity of 5 km/hr. She realizes that the store is closing in a few minutes. She accelerates to running at a rate of 15 km/hour in 2 seconds. What is her rate of acceleration?