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Velocity

Velocity. The speed and direction of an object’s motion. 88 km / hr southwest. Image source: http://www.myteacherpages.com/. VELOCITY. SPEED IN A GIVEN DIRECTION. d. V. =. t. direction. A bird flies south at 20 m/s. SPEED = 20 m/s VELOCITY = 20 m/s south. CONSTANT VELOCITY.

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Velocity

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  1. Velocity • The speed and direction of an object’s motion. • 88 km / hr southwest Image source: http://www.myteacherpages.com/

  2. VELOCITY SPEED IN A GIVEN DIRECTION d V = t direction

  3. A bird flies south at 20 m/s. • SPEED = 20 m/s • VELOCITY = 20 m/s south

  4. CONSTANT VELOCITY

  5. CHANGING VELOCITY

  6. COMBINING VELOCITIES How fast will this ball move? What factors may affect its speed?

  7. COMBINING VELOCITIES Rowing speed = 16 km/hr River speed (downstream) = 10 km/hr V1(Boat) = 16 km/hr V2 (river) = 10 km/hr Combined velocity: 26 km/hr

  8. What is the velocity if you are moving upstream? Combined velocity:(V1) 16 km/hr – (V2) 10 km/hr = (CV) 6 km/hr

  9. Why is the idea of combining velocities important to launching rockets?

  10. 1.A runner moving eastward covers a distance of a 100 meters in 10 seconds. What is his velocity? • Given: D= 100 m T= 10s dir= East • Formula V= d/t with dir • Work V= 100m/10s East • Answer V= 10m/s East

  11. 2.A tropical disturbance spotted east of the Philippines was moving at 60 km per hour at a Northwesterly direction and having maximum sustained winds of 150 km/h? What is the storm’s velocity? • Given: S= 60km/h T= 10s dir= NW • Formula V= d/t with dir • Work/Answer V= 60km/h NW

  12. T= 10 min D= 500m D= 500m T= 5 min 3.Seve is walking to a friend’s house. He walks 500m for 10 minutes, then realizes he forgot something important to bring. He turns around, and hurries back to his house. The walk/jog back takes him 5 minutes. Given: Total D= 500m + 500m = 1,000m Total T= 10min + 5 min= 15min x 60 sec/min = 900 sec

  13. 3.Seve is walking to a friend’s house. He walks 500m for 10 minutes, then realizes he forgot something important to bring. He turns around, and hurries back to his house. The walk/jog back takes him 5 minutes. a. What was his average speed in m/sec? • Given: Total D= 500m + 500m = 1,000m Total T= 10min + 5 min= 15min x 60 sec/min = 900 sec (15 min) • Formula Ave S = total D/total T • Work Ave S = 1,000m/900s • Answer Ave S = 1.1 m/s

  14. 3.Seve is walking to a friend’s house. He walks 500m for 10 minutes, then realizes he forgot something important to bring. He turns around, and hurries back to his house. The walk/jog back takes him 5 minutes. b. What was Seve’s velocity (in m/s) while walking to his friend’s house? Given: D= 500m T= 10min x 60 sec/min= 600 sec dir = forward (to his friend’s house) 1.Formula V= d/t with dir 2. Work V= 500m/600s to friend’s house 3. Answer V= 0.83 m/sto friend’s house

  15. 4.Sean is running around the track oval. The oval is 800m long. He is running at a constant speed. It takes him 180 s to complete the track and get back to where he started. • What is Sean’s speed in m/s? Given: d= 800 m t= 180 s running at constant speed

  16. What is Sean’s speed in m/s? Given: d= 800 m t= 180 s running at constant speed 1. Formula S= d/t 2. Work V= 800m/180s around oval 3. Answer V= 4.44 m/saround oval If Sean is running at constant speed, is he also moving at constant velocity ? No, he is always changing direction (running around the oval).

  17. 3.A group of fishermen were rowing downstream at a speed of 16 km/h. • How fast (combined velocity) is a group actually moving if the river’s speed (downstream) is 10 km/hr? Given: V1= 16km/h V2= 10 km/h dir= downstream 1.Formula CV= V1 + V2 2. Work CV= 16 km/h + 10 km/h downstream 3. Answer CV= 26 km/h downstream

  18. 3.A group of fishermen were rowing downstream at a speed of 16 km/h. b. What will be their velocity if they were moving upstream? Given: V1= 16km/h V2= 10 km/h dir= downstream 1.Formula CV= V1 - V2 2. Work CV= 16 km/h - 10 km/h upstream 3. Answer CV= 6 km/h upstream

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