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Understanding Motion: Speed, Acceleration, and Free Fall Equations

Learn about speed, acceleration, and free fall equations, including how to calculate speed, acceleration, and vertical distances in motion. Understand units of measurement and how to solve related problems effortlessly.

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Understanding Motion: Speed, Acceleration, and Free Fall Equations

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  1. Motion- • Chapter 1 pp. 12-29

  2. Speed- • a measure of how fast something is moving. • (rate of change of distance) • Equation- Speed = distance time

  3. Units for speed- • mi/h (mph) • km/h or • m/s • ( / is read per and means divided by) Use this to remember the equation!

  4. 1.) What is the speed of a car that has gone 200 km in 4 hrs.?

  5. 200km = 50 km/hr4 hr Answer-

  6. 2.) What is the time it took for a car traveling 65 mph to go 800 mi.?

  7. Answer- 800mi = 65 mph t

  8. Acceleration- the rate of change in velocity • Acceleration = change of velocity time interval

  9. Units for Acceleration- • km/hr2 Reads kilometers per hour per hour Each hour the speed changes so many kilometers per hour • m/s2 Reads meters per second per second Each second the speed changes so many meters per second • km/h/s Reads kilometers per hour per second Each second the speed changes so many kilometers per hour

  10. 3.) A car can go from 0 km/h to 90 km/h in 10 s. What is its acceleration?

  11. Answer- 90 km/h – 0 km/h = 9 km/h/s 10 s These units are the hardest to understand! 4.) What do these units mean? This answer means that each second the car is speeding up 9 km/h

  12. Free Fall (Vertical Velocity)- • an object falling free of all restraints • v = gt • v- velocity • g- acceleration of gravity • 9.8 m/s2 on earth • during each second of fall the object gains 9.8 m/s in velocity • t- time

  13. 6.) A person jumps out of an airplane and has been falling for 3 sec., how fast are they going? • v = gt = 9.8 (3) = 29.4 m/s

  14. Calculating Vertical Distance- • Freely falling objects only • Equation- d = ½ gt2 • d = distance traveled • Units- meters • g = acceleration due to gravity • Units- m/s2 • t = time of fall • Units- seconds

  15. 7.) A person jumps off a cliff and has been falling for 1.3 sec., how far did they fall?

  16. Answer: • d = ½ gt2 • d = ½ x (9.8) x (1.3)2 • d = 4.9 x 1.69 • d = 8.28 meters 7.) Why are the units meters? The units on 9.8 are m/s2.

  17. Super man saves little boy? https://www.youtube.com/watch?v=l2Mm6Ppj3e8 Height of Niagra falls is 53 meters How far does the boy fall before superman catches him? What speed is the boy going just before he is caught?

  18. Done!!

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