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Velocity• The speed and direction of an object’s
motion.–88 km / hr southwest
Image source: http://www.myteacherpages.com/
VELOCITYSPEED IN A GIVEN
DIRECTION
Vd
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 (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
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
D= 500m
D= 500m
T= 10 min
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
Given: d= 800 m t= 180 s running at constant speed
1. Formula S= d/t 2. Work V= 800m/180s around oval3. 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).
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’s combined velocity on the way to Crush’s house?
Given: V1= 12km/h V2= 10 km/h dir= to Crush’s house
(Nemo) (current)
1.Formula CV= V1 + V22. Work CV= 12 km/h + 10 km/h3. Answer CV= 22 km/h to Crush’s house
Current
Nemo
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 - V22. Work CV= 12 km/h - 10 km/h3. Answer CV= 2 km/h on the way home