1. Acceleration Define acceleration How about scientifically?
Rate of change of velocity
What is a rate?
What is velocity?

2. Acceleration of Selected Events (Smallest to Largest)
a (m/s2)
event 
5 × 10−14
smallest acceleration in a scientific experiment
2 × 10−10
galactic acceleration at the sun
0.5
elevator, hydraulic 1
elevator, cable
1.6
free fall acceleration on the moon
8.8
International Space Station
3.7
free fall acceleration on Mars
9.8
free fall acceleration on Earth
10–40
manned rocket at launch 20
space shuttle, peak
24.8
free fall acceleration on Jupiter
20–50
roller coaster 80
limit of sustained human tolerance
0–150
human training centrifuge
100–200
ejection seat
270
free fall acceleration on the sun
600
airbags automatically deploy
104–106
medical centrifuge
106
bullet in the barrel of a gun

3. Automotive Acceleration (g)
event
typical car
sports car
F-1 race car
large truck
starting
0.3–0.5
0.5–0.9
1.7
< 0.2
braking
0.8–1.0
1.0–1.3 2
~ 0.6
cornering
0.7–0.9
0.9–1.0 3 ??

4. Acceleration and the Human Body
a (g)
event
2.9
sneeze
3.5
cough
3.6
crowd jostle
4.1
slap on back
8.1
hop off step
10.1
plop down in chair 60
chest acceleration during car crash at 48 km/h with airbag, design limit
70–100
crash that killed Diana, Princess of Wales, 1997
150–200
head acceleration limit during bicycle crash with helmet

5. Types of Acceleration
What are three ways that an object can accelerate?
What does velocity look like during these times?

6. What happened from 0-0. 5 min. 5- 1. 5 min. 1. 5- 2. 0 min. 2. 0- 3
What happened from min? min? min? min? min? min? min? min? min?

7. Acceleration… How do we calculate it? OR
Think of the definition
It is a rate of change of a velocity OR
What should the standard SI units look like?
What are the units for velocity?
What are the units of time?

8. Example
A cart goes from rest to 10 m/s away from you in 2 s. What is the cart’s acceleration?
A skateboarder has an initial velocity of 3 m/s west and comes to a stop in 2 s. What is the skateboarder’s acceleration?

9. Solution
A cart goes from rest to 10 m/s away from you in 2 s. What is the cart’s acceleration?
a=? vi= 0 m/s
vf=10 m/s away t= 2 s

10. Solution
A skateboarder has an initial velocity of 3 m/s west and comes to a stop in 2 s. What is the skateboarder’s acceleration?
a=? vi= 3 m/s west
vf=0 m/s t= 2 s

11. Your turn
A car goes from rest to a velocity of 108 km/h north in 10 s. What is the car’s acceleration in m/s?
A baseball is pitched at 40 m/s (90 mph) in a Major League game. The batter hits the ball on a line drive straight toward the pitcher at 50 m/s (112 mph). Determine the acceleration of the ball if it was in contact with the bat for 1/30 s.

12. Solution
A car goes from rest to a velocity of 108 km/h north in 10 s. What is the car’s acceleration in m/s?
a=? vi= 0 m/s
vf=108 km/h north= 30m/s N t= 10 s
First we need to convert km/h to m/s…

13. Solution
A baseball is pitched at 40 m/s (90 mph) in a Major League game. The batter hits the ball on a line drive straight toward the pitcher at 50 m/s (112 mph). Determine the acceleration of the ball if it was in contact with the bat for 1/30 s.
a=? t= 1/30 s
vf=50 m/s towards the pitcher or vi= 40 m/s towards the batter or
vf=-50 m/s towards the batter vi= -40 m/s towards the pitcher
Our issue is that we can’t calculate the acceleration unless the velocities are in like terms. We can flip either velocity, when we do this we must change the sign (positive to negative or vice versa). Once we do that we can solve as usual!

14. Two Dimension Motion Circular motion Centripetal acceleration
We looked at this before
Centripetal acceleration
What do you think this is?
Hint: Think about the acceleration of the lady bug.

15. Projectile Motion What is a projectile?
What path does a projectile travel?
What are the two components of projectile motion?
Vh= 2.0 m/s
Vv= 0.0 m/s
Vv= 0.5 m/s
Vv= 1.0 m/s

16. Throwing vs. Dropping
Will a ball that is thrown as hard as you can throw it and an identical ball dropped (zero added force) straight down land at the same time or different times? Why?
Video

17. Amusement Parks http://www.youtube.com/watch?v=0WpNSImh6Z8
How do amusement park rides create “thrills”? What do you feel when you are on roller coasters or waterslides?