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Unit 4 Review

Unit 4 Review. Kinematics. Kinematics. When air resistance is not taken into consideration, released objects will experience acceleration due to gravity, also known as freefall. Projectile motion can be predicted and controlled using kinematics. Human Cannonball Training.

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Unit 4 Review

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  1. Unit 4 Review

  2. Kinematics

  3. Kinematics • When air resistance is not taken into consideration, released objects will experience acceleration due to gravity, also known as freefall. • Projectile motion can be predicted and controlled using kinematics

  4. Human Cannonball Training Speaking the Lingo Firing Angle (θ) is measured in degrees. It is the angle at which the projectile left the cannon. Initial Velocity (Vi) is the angular speed of a projectile at the start of its flight.

  5. Human Cannonball Training Calculating Initial Velocity

  6. Human Cannonball Training Calculating Horizontal Distance

  7. Human Cannonball Training Calculating Firing Angle Not on formula sheet

  8. Kinematics important info • Horizontal Motion: • Velocity is constant in X direction!!! Vix =

  9. Kinematics important info • Vertical Motion: • Velocity changes with time due to gravity • Viy = Vi sin theta • Velocity is zero in the y direction at peak

  10. Projectile Motion Problem • A ball is fired from a device, at a rate of 160 ft/sec, with an angle of 53 degrees to the ground.

  11. Projectile Motion Problem • Find the x and y components of Vi. • What is the initial vertical velocity? • What is the ball’s range (the distance traveled horizontally)?

  12. Projectile Motion Problem Find the x and y components of Vi.

  13. Projectile Motion Problem Find the initial vertical velocity.

  14. Projectile Motion Problem What is the ball’s range (the distance traveled horizontally)? Vi = 160 ft/sec Theta = 53 degrees G = -32 ft/sec/sec

  15. Statistics

  16. Statistics The collection, evaluation, and interpretation of data Engineers use statistics to make informed decisions based on established principles.

  17. Statistics Statistics Inferential Statistics Generalize and evaluate a population based on sample data Descriptive Statistics Describe collected data Statistics is based on both theoretical and experimental data analysis

  18. Methods of Determining Probability • Empirical • Experimental observation Example – Process control • TheoreticalUses known elements • Example – Coin toss, die rolling • SubjectiveAssumptions Example – I think that . . .

  19. Probability The number of times an event will occur divided by the number of opportunities Px = Probability of outcome x Fx = Frequency of outcome x Fa = Absolute frequency of all events Expressed as a number between 0 and 1fraction, percent, decimal, odds Total probability of all possible events totals 1

  20. Probability What is the probability of tossing a coin twice and it landing heads up both times? HH How many desirable outcomes? 1 HT How many possible outcomes? 4 TH TT

  21. Law of Large Numbers The more trials that are conducted, the closer the results become to the theoretical probability Trial 1: Toss a single coin 5 times H,T,H,H,TP = .600 = 60% Trial 2: Toss a single coin 500 times H,H,H,T,T,H,T,T,……TP = .502 = 50.2% Theoretical Probability = .5 = 50%

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