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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
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
1.Formula         V= d/t with dir
2.Work/Answer     V= 60km/h NW
CONSTANT VELOCITY
CHANGING VELOCITY
COMBINING VELOCITIES




         How fast will this ball move?
         What factors may affect its
         speed?
COMBINING VELOCITIES
                        Rowing speed
                        = 16 km/hr
                        River speed
V1(Boat) = 16 km/hr     (downstream) =
V2 (river) = 10 km/hr   10 km/hr
Combined velocity: 26 km/hr
What is the velocity if you are
moving upstream?




 Combined velocity:             (V1)
 16 km/hr – (V2) 10 km/hr =   (CV) 6
 km/hr
Why is the idea
 of combining
   velocities
 important to
   launching
    rockets?
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
1.Formula         V= d/t with dir
2.Work            V= 100m/10s East
3.Answer     V= 10m/s East
3. Lisa is walking to a friend’s house. She walks 500m for 10
minutes, then realizes she forgot something important to
bring. She turns around, and hurries back to her house. The
walk/jog back takes her 5 minutes.
Given: Total D= 500m + 500m = 1,000m
        Total T= 10min + 5 min= 15 min


            T= 10 min           D= 500m




                    D= 500m          T= 5 min
3. Lisa is walking to a friend’s house. She walks 500m for 10
minutes, then realizes she forgot something important to
bring. She turns around, and hurries back to her house. The
walk/jog back takes her 5 minutes.
a. What was her average speed in m/min?

Given: Total D= 500m + 500m = 1,000m
        Total T= 10min + 5 min= 15min

1.Formula Ave S = total D/total T
2.Work            Ave S = 1,000m/15min
3.Answer Ave S = 67 m/min
4. Nelson 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.
a. What is Nelson’s speed in m/s?


 Given: d= 800 m    t= 180 s   running at constant speed
a. What is Nelson’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/s around oval

 If Nelson is running at constant speed, is he also moving
    at constant velocity ?

  No, he is always changing direction
  (running around the oval).
3. Nemo is swimming his way to his best friend’s house
   Crush (the turtle). Nemo is swimming at 12 km/h and the
   current is moving at 10 km/hr.
a. On the way to Crush’s house, he
   swims with the current. What is         Nemo

   Nemo’s combined velocity on
   the way to Crush’s house?               Current


Given: V1= 12km/h V2= 10 km/h dir= to Crush’s house
       (Nemo)   (current)
1.Formula     CV= V1 + V2
2. Work       CV= 12 km/h + 10 km/h
3. Answer     CV= 22 km/h to Crush’s house
b. When Nemo leaves Crush’s to go home, he has to swim
   against the current.
 What is Nemo’s combined velocity
 on the way home?


Given: V1= 12km/h V2= 10 km/h dir= Nemo’s home

1.Formula        CV= V1 - V2
2. Work          CV= 12 km/h - 10 km/h
3. Answer        CV= 2 km/h on the way home

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Velocity

  • 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. 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 1.Formula V= d/t with dir 2.Work/Answer V= 60km/h NW
  • 7. COMBINING VELOCITIES How fast will this ball move? What factors may affect its speed?
  • 8. COMBINING VELOCITIES Rowing speed = 16 km/hr River speed V1(Boat) = 16 km/hr (downstream) = V2 (river) = 10 km/hr 10 km/hr Combined velocity: 26 km/hr
  • 9. What is the velocity if you are moving upstream? Combined velocity: (V1) 16 km/hr – (V2) 10 km/hr = (CV) 6 km/hr
  • 10. Why is the idea of combining velocities important to launching rockets?
  • 11. 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 1.Formula V= d/t with dir 2.Work V= 100m/10s East 3.Answer V= 10m/s East
  • 12. 3. Lisa is walking to a friend’s house. She walks 500m for 10 minutes, then realizes she forgot something important to bring. She turns around, and hurries back to her house. The walk/jog back takes her 5 minutes. Given: Total D= 500m + 500m = 1,000m Total T= 10min + 5 min= 15 min T= 10 min D= 500m D= 500m T= 5 min
  • 13. 3. Lisa is walking to a friend’s house. She walks 500m for 10 minutes, then realizes she forgot something important to bring. She turns around, and hurries back to her house. The walk/jog back takes her 5 minutes. a. What was her average speed in m/min? Given: Total D= 500m + 500m = 1,000m Total T= 10min + 5 min= 15min 1.Formula Ave S = total D/total T 2.Work Ave S = 1,000m/15min 3.Answer Ave S = 67 m/min
  • 14. 4. Nelson 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. a. What is Nelson’s speed in m/s? Given: d= 800 m t= 180 s running at constant speed
  • 15. a. What is Nelson’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/s around oval If Nelson is running at constant speed, is he also moving at constant velocity ? No, he is always changing direction (running around the oval).
  • 16. 3. Nemo is swimming his way to his best friend’s house Crush (the turtle). Nemo is swimming at 12 km/h and the current is moving at 10 km/hr. a. On the way to Crush’s house, he swims with the current. What is Nemo Nemo’s combined velocity on the way to Crush’s house? Current Given: V1= 12km/h V2= 10 km/h dir= to Crush’s house (Nemo) (current) 1.Formula CV= V1 + V2 2. Work CV= 12 km/h + 10 km/h 3. Answer CV= 22 km/h to Crush’s house
  • 17. b. When Nemo leaves Crush’s to go home, he has to swim against the current. What is Nemo’s combined velocity on the way home? Given: V1= 12km/h V2= 10 km/h dir= Nemo’s home 1.Formula CV= V1 - V2 2. Work CV= 12 km/h - 10 km/h 3. Answer CV= 2 km/h on the way home