2.  Distance  Speed  Time *These are all scalar quantities -only magnitude  Displacement  Velocity  Acceleration *These are all vector quantities -magnitude and direction

3. DISTANCE  Total traveled  Path dependent  Scalar quantity  Both use the same variable and units  Variable: d (sometimes: x,r,ℓ)  Units: m DISPLACEMENT  Change in position  Path independent  Vector quantity

4. Check your understanding An odometer in your car shows: Distance

5.  The following is a list of gains and loses of a Bears possession  First down: gain 8 yards  Penalty lose 10 yards  Second down: gain 11 yards  Third down: lose 1 yard  What is the total distance?  What is the total displacement?

6. DIFFERENCES  Speed: how fast (scalar)  Always positive  Example: 25 m/s  Velocity: how fast in a certain direction (vector)  Can be positive or negative  Example: 25 m/s North SIMILARITIES  Variable: v  Units: m/s

7. Check your Understanding A speedometer in your car shows: Speed

8. Check your understanding Jim travels from Palatine to Chicago at 65 mph. Susie travels from Chicago to Palatine at 65 mph. Are the velocities equal? No, different directions

9.  v=(d f -d i )/(t f -t i ) OR commonly written as  v=∆d/ ∆ t *∆ means change Average Speed/Velocity

10.  In gym, you have to run the 100 m dash. If you run it in 18 s, what was your velocity?

11.  A freaky fast Jimmy Johns delivery man makes a delivery that is 2.2 miles away and it takes him 9 min. What is his average velocity in mi/hr?

12. SPEED (AVERAGE)  Total distance traveled divided by the total time elapsed **Example: Round trip drive to school VELOCITY  Total displacement divided by total time

13.  A change in velocity  Vector quantity  Positive vs. Negative Acceleration  + velocity and + acceleration = _____  + velocity and - acceleration = _____  - velocity and - acceleration = _____  - velocity and + acceleration = _____  Variable: a  Units: m/s/s or m/s 2  Equation: a=(v f -v i )/(t f -t i ) OR commonly written as: a= ∆v/ ∆ t

14. Check your understanding Name 3 ways to accelerate your car: 1. Step on gas pedal 2. Step on brake pedal 3. Turn steering wheel

15.  A car accelerates from a stop sign up to a speed of 11 m/s. If it takes 4 to do so, what is the car’s acceleration?

16.  Problem 1:  How long does it take a turtle to travel 1,000 m if it can travel at a pace of 1.3 m/s?  Problems 2:  What is the change in velocity if an object accelerates at 2 m/s 2 for 4.5 seconds?  If the object started at 3 m/s, what is its final speed?

17. DISTANCE VS. TIME GRAPHSVELOCITY VS. TIME GRAPHS  Slope is acceleration  Slope = rise/run = velocity/time = ACCELERATION  Area under graph is distance traveled  Area = base*height = velocity*time = Distance  Slope is velocity  Slope = rise/run = distance/time = Velocity

18.  Straight Lines – CONSTANT  Curving Lines – CHANGING  Flat Line - ZERO  Steeper the slope, the higher the value

20.  Definition of average velocity: (v i + v f )/2  Distance = rate * time: d=v avg *t  Definition of acceleration (final velocity): v f =v i + at  Timeless: v f 2 =v i 2 +2a∆d  Position: ∆d=v i t +1/2at 2

21. Equation∆xvivi vfvf ∆ta Definition of average velocity: v avg =(v i + v f )/2 Distance = rate * time: x=v avg *t √√√√○ Definition of acceleration (final velocity): v f =v i + at ○√√√√ Timeless: v f 2 =v i 2 +2a∆x √√√○√ Position: ∆x=v i t +1/2at 2 √√○√√

22.  Identify givens  Look for hidden givens  Identify unknown(s)  Compare givens and unknowns to equations  In the beginning: chart  Re-read problem if stuck *always show your work (G.U.E.S.S.)

23.  What is Starlin Castro’s acceleration as he runs toward first base if he reaches the base with a speed of 6.5 m/s? The distance between the plates is 27.432 meters.

24.  An airplane can accelerate at a rate of 4.9m/s 2. If it takes 45 s for the plane to start to elevate and the plane starts from rest, what is the minimum length of runway required?

25.  Seeing a stop sign ahead, a person begins to brake as they drive lawfully on Cunningham. If their reaction time is 1 s, what is the total distance they need to stop if they can accelerate at -8 m/s 2 ?