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Speed and Velocity

Speed and Velocity. Review. This is the point that all motion will be measured relative to. Position Reference Displacement Distance. Review. A point some distance and direction from my reference point. Position Reference Displacement Distance. Review. The change in position.

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Speed and Velocity

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  1. Speed and Velocity

  2. Review • This is the point that all motion will be measured relative to. • Position • Reference • Displacement • Distance

  3. Review • A point some distance and direction from my reference point. • Position • Reference • Displacement • Distance

  4. Review • The change in position. • Position • Reference • Displacement • Distance

  5. Review • The total distance traveled. • Position • Reference • Displacement • Distance

  6. Average Speed • Def: Total distance covered divided by the total time • Path doesnot matter for speed! What is the average speed of the car over 5 sec? Total distance/total time 60m/5sec = 12m/sec

  7. Velocity • Def: the speed of an object in a certain direction • Vector quantity • Units: m/s • Slope of the position vs. time graph • Symbol: V • Example: 100mph to the East • If the speed or direction changes, the velocity changes

  8. Where is the car moving with the greatest velocity? (time frame)

  9. Speed Scalarquantity Unit: m/s Slope of the distance vs. time graph Symbol: s Velocity Vectorquantity Unit: m/s Slope of the position vs. time graph Symbol: v Speedvs.Velocity

  10. Instantaneous Velocity • Def: the velocity of an object at a particular moment (snap shot) • Example: the speed on the speedometer, and your direction

  11. Questions • What is the instantaneous velocity of the car at 3.5 sec? • What is the average velocity of the car over 4 sec?

  12. Questions A: Speed B: Velocity C: Both • Depends on time, distance, and direction • Only depends on time and distance • Has the units m/s • Can be found using the position vs. time graph • Can be found using the distance vs. time graph

  13. Calculating Speed or Velocity Formula: Speed or Velocity(m/s) d S 1 V 1 d = = t t Distance (m) Time (s)

  14. 4-Step Approach to solving problems Step 1Read the problem, list the variables… what are you trying to find? Step2 Write the formula Step 3Plug-n-Chug, substitute numbers into the formula and solve Step 4Write answer with correct units!

  15. Class Practice • What is the speed of an electric scooter that travels 20 meters in 2 seconds? • A ball is thrown so that it travels 120 meters in 8 seconds. Howfast did it travel?

  16. Class Practice • If a girl walks at a rate of 2 m/s, howlong will she take to walk 100 meters? • A motorcycle travels at 25 m/s for 10 minutes (600 s). Howfar does it travel?

  17. Independent Practice / Exit Ticket • A Cheetah runs 120 meters in 2 seconds. What is its speed? • Turtles walk at a speed of 20 meters per hour. How long does it take a turtle to travel 10 meters? • Your bowling ball is rolling 2.5 m/s toward the pins. How long does it take to travel 12 m? • If it takes 5 minutes to drive to the store at 35 mph (miles per hour), how far away is the store?

  18. CHALLENGE QUESTIONS • Mindy drives 55 mph for 30 minutes and then drives 65 mph for 2 hours. How far does she drive? • If Jim travels 13 km in 8 minutes, and Sarah travels 24 km in 17 minutes, who is going faster?

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