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 Velocity of the body is the distance
travelled in a given direction per unit
time.
 In other words speed in a given direction
tells the velocity of the body.
 Velocity is the vector quantity having
both magnitude as well as direction.
 S.I unit of velocity is M/sec.
VELOCITY
V S
t
=
V=Velocity
S=Displacement
=Vector quantity
T=Time taken
The velocity of the body can be changed in any one of
the following 3 ways:-
 By changing speed of the body.
 By changing the direction of motion of the body.
 By changing both , speed and distance of motion.
Velocity of the body is said to be non-uniform when it
covers unequal distances in a particular directions on
equal interval of time or direction of motion of body
changes.
When velocity of the body is changing at the uniform
rate over the period of time then average velocity of the
body for this body is arithmetic mean of initial and
final velocity.
= initial velocity + final velocity
2
Vav =U + V
2
Vav= average velocity
U= initial velocity
V= final velocity
How fast will this ball move?
What factors may affect its
speed?
Rowing speed
= 16 km/hr
River speed
(downstream)
= 10 km/hr
Combined velocity: 26 km/hr
V1(Boat) = 16 km/hr
V2 (river) = 10 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
1. 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= 10 sec dir.=
northwest
1. Formula= V= d/t with direction
2.Work/Answer= V= 60km/h Northwest
2. 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
D= 500m
D= 500m
T= 10 min
T= 5 min
a. What was her average speed in m/min?
Given: Total Distance= 500m + 500m = 1,000m
Total Time= 10min + 5 min= 15min
1. FormulaAverage Speed = total D/total Time
2.Work= Average Speed = 1,000m/15min
3.Answer= Average Speed = 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
Given: d= 800 m t= 180 s running at constant speed
1. Formula= Velocity= d/t
2. Work= V= 800m/180 sec around oval
3. Answer= V= 4.44 m/s around oval
a. What is Nelson’s speed in m/s?
If Nelson is running at constant speed, is he also
moving at constant velocity ?
No, he is always changing direction
(running around the oval).
5. 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’s combined velocity on
the way to Crush’s house?
Given: V1= 12km/h V2= 10 km/h direction= to Crush’s
house
(Nemo) (current)
1.Formula = Combined velocity= V1 + V2
2. Work= CV= 12 km/h + 10 km/h
3. Answer = CV= 22 km/h to Crush’s house
Current
Nem0
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 = Combined velocity= V1 - V2
2. Work = CV= 12 km/h - 10 km/h
3. Answer = CV= 2 km/h on the way home
Against current
Velocity

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Velocity

  • 1.
  • 2.  Velocity of the body is the distance travelled in a given direction per unit time.  In other words speed in a given direction tells the velocity of the body.  Velocity is the vector quantity having both magnitude as well as direction.  S.I unit of velocity is M/sec.
  • 4.
  • 5. The velocity of the body can be changed in any one of the following 3 ways:-  By changing speed of the body.  By changing the direction of motion of the body.  By changing both , speed and distance of motion. Velocity of the body is said to be non-uniform when it covers unequal distances in a particular directions on equal interval of time or direction of motion of body changes.
  • 6. When velocity of the body is changing at the uniform rate over the period of time then average velocity of the body for this body is arithmetic mean of initial and final velocity. = initial velocity + final velocity 2 Vav =U + V 2 Vav= average velocity U= initial velocity V= final velocity
  • 7.
  • 8.
  • 9. How fast will this ball move? What factors may affect its speed?
  • 10. Rowing speed = 16 km/hr River speed (downstream) = 10 km/hr Combined velocity: 26 km/hr V1(Boat) = 16 km/hr V2 (river) = 10 km/hr
  • 11. What is the velocity if you are moving upstream? Combined velocity: (V1) 16 km/hr – (V2) 10 km/hr = (CV) 6 km/hr
  • 12.
  • 13. 1. 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= 10 sec dir.= northwest 1. Formula= V= d/t with direction 2.Work/Answer= V= 60km/h Northwest
  • 14. 2. 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
  • 15. 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 D= 500m D= 500m T= 10 min T= 5 min
  • 16. a. What was her average speed in m/min? Given: Total Distance= 500m + 500m = 1,000m Total Time= 10min + 5 min= 15min 1. FormulaAverage Speed = total D/total Time 2.Work= Average Speed = 1,000m/15min 3.Answer= Average Speed = 67 m/min
  • 17. 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
  • 18. Given: d= 800 m t= 180 s running at constant speed 1. Formula= Velocity= d/t 2. Work= V= 800m/180 sec around oval 3. Answer= V= 4.44 m/s around oval a. What is Nelson’s speed in m/s? If Nelson is running at constant speed, is he also moving at constant velocity ? No, he is always changing direction (running around the oval).
  • 19. 5. 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’s combined velocity on the way to Crush’s house? Given: V1= 12km/h V2= 10 km/h direction= to Crush’s house (Nemo) (current) 1.Formula = Combined velocity= V1 + V2 2. Work= CV= 12 km/h + 10 km/h 3. Answer = CV= 22 km/h to Crush’s house Current Nem0
  • 20. 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 = Combined velocity= V1 - V2 2. Work = CV= 12 km/h - 10 km/h 3. Answer = CV= 2 km/h on the way home Against current