How do you know when an object is moving? MOTION.
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Transcript of How do you know when an object is moving? MOTION.
How do you know when an object is moving?
MOTION
What is Motion?
Turn and Talk - See if you and your partner can come up with a definition.
What is Motion?
a change in position, relative to a frame of reference.
Reference Point
Movement
But wait…..
Before we talk about motion, lets talk about physical quantities in general.
There are two types of physical quantities:
SCALAR and VECTOR
What is a SCALAR QUANTITY?
Only needs the MAGNITUDE to describe it
The “HOW MUCH”A numerical value.
Examples: A cat has a mass of 5 kg
Johnny runs 100 meters in 10 seconds
What is a vector quantity?
Needs the MAGNITUDE and the DIRECTION
Which way?How Much?
Example: The cat runs 2.5 meters per second east as it chases the squirrel.
Example: The cat runs 2.2 meters per second east as it chases the mouse.
Back to how we study motion...
scalar vector
distance displacement
speed velocity
acceleration
ALL motion can be described with these 5 quantities.
X Axis
Y Axis
Distance = how far an object has moved.
Measured in meters, kilometers (cm or mm)
If each mark represents 10 cm, what is the distance between the girl and the ball? ______
Displacement = Final Position - Initial Position
What if Sally walks to the red ball and then back to the teddy bear?
What is her distance?
What is her displacement?
X Axis
Y Axis
Objects to the right of 0 have a POSITIVE position
Objects to the left of 0 have a NEGATIVE position.
What is the position of the Smiley Face? ______________
Lightning Bolt _______________
Heart? ______________
Speed = the distance an object travels per unit of time (sec, hour, year..etc)
Speed Equation
Speed (meters/second) = distance (in meters) time (sec)
S = d t
A car travels a distance of 500 m in 10 sec. What is the car's speed?
S = d t
A second car travels a distance of 100 meters in 20 seconds. What is this car's speed?
More practice. (Speed = distance/ time)
An elevator travels from the first floor to the 25th floor of a building, a distance of 180 meters, in 60 seconds. What is the elevator's speed?
Find the Distance = ______
Find the Time = _______
Calculate the Speed = _______
What is Velocity?
Velocity is a measure of the speed of an object AND the direction it is moving in space.
On the escalator, passengers are moving at the same speed, but they are moving in different directions.
So….. they have different
VELOCITIES V = Δd Δt
and include a direction
Speed is......._____________________________
Velocity is .... _____________________________
A car travels north 600 m in 10 sec. What is the car's velocity?
V = Δd Δt
Your results should have:
NUMERICAL ANSWER
UNITS
DIRECTION
Average Velocity = total distance traveled time taken
This is useful when you are trying to measure speed, and the object moved at varying speeds throughout the trip. For instance, if you drove from here to Busan, you might AVERAGE 60km/h, even though you stopped at lights, or slowed down or travelled at 70 km/h at some points on your trip.
On graphs that show distance versus time, the SLOPE of the line is a measure of the velocity of the object.
Distance vs Time
1. Calculate each average velocity.
Bill ______
Myrtle ______
Zed ______
2. Can you find from the graph, the point where Zed stopped for a while?
3. Which turtle wins the race?
4. At what time period was Bill and Myrtle's speed the same?
Constant Speed
Constant speed means that the speed stays the same throughout the entire distance
*Very few things can stay at a constant speed. Rather, things usually move at a constant speed for a period of time.
The cyclist speeds up, slows down, stops..etc
Velocity = distance/time (more practice)
1. If a person is walking at 4 m/s, how far can he travel in 30 seconds?
a) 120 meters b) 7.8 meters c) .08 meters
2. A spaceship can move 100 meters in 2 seconds. What is the ship's velocity?
a) 200 m/s b) 50 m/s c) .002 m/s
3. A chicken runs across the street at a speed of 12 m/s. If the road is 36 meters across, how long does it take for the chicken to cross the road?
a) 3 s b) 432 s c) .333 s
QUIZ TIME - MOTION
1. Motion indicates a change in _____________
2. Motion is relative to a ___________ of reference.
3. Write the equation for displacement: _______
4. Write the equation for velocity:
5. What units (standard) are used for velocity? ___
6. What units are used for distance? ____
7. Vector quantities measure magnitude and ___.
8. How far did the object move at 6 seconds? ______
9. If Y2 = 5 Y1 = 0
Calculate the slope.
10. The slope of the line is a measure of the object’s? ____
Acceleration = the rate of change of velocity
Change in Velocity = final velocity (vf) - initial velocity (vi)
Acceleration (m/s2) = (vf) - (vi) time
units
Change in velocity is often written as
the triangle indicates "change"
acceleration = change in velocity change in time
If a car moves at a constant velocity, then its acceleration is zero
Calculations
A skateboarder is traveling at 8 m/s. He slows and comes to a stop in 4 sec. What was the acceleration? (hint: it is a negative number)
What is the v (final v)? _____
What is the u (initial v)? _____
What is the acceleration? _______
A sailboat is moving at 12 m/s when a gust of wind changes its velocity to 18 m/s. The wind lasts 10 seconds. For that 10 sec, what was its acceleration?
What is the v (final v)? _____
What is the u (initial v)? _____
What is the t? _______
Acceleration? ________
Positive acceleration = speeding up
Negative acceleration (aka deceleration or retardation) = slowing down
A Ducati can accelerate to 97 km/h
in 3 seconds.
A Ducati can accelerate to 97 km/h or 27 m/s in 3 seconds.
What is the acceleration of a Ducati if it starts at 0 and gets to a velocity of 27 m/s in 3 sec?
So consider this situation….. a coppulls you over forspeeding:The distance between the stop sign and the school parking lotentrance is 40 meters.
The cop says your velocity was 20 m/s.
How long would it take you (t) to travel a distance of 40 meters at that speed?
V = d Δt
So, putting all the data together, according to the cop
Your initial velocity (at stop sign) was 0 m/s
Your final velocity (at entrance) was 20 m/s
The time it took you to travel that distance would be 2 sec.
What would have been your acceleration?
Is this faster or slower than the ducati?
Think about this....
What are three ways to change the velocity of a car?
Accelerate
Decelerate
Change direction
Graphs represent speeds of objects. This graph shows a bus as it travels its
route.
Between what points is the bus accelerating? _____ & ____Between what points is the bus moving at a constant speed? _____ & _____Between what points is the bus stopped? __________Between what points it the bus decelerating? _________
QUIZ TIME - MOTION
1. The triangle in the equation represents ________
2. If you are slowing down, then you have a ____________acceleration.
3. A bike that goes from 6 m/s to 16 m/s in 20 seconds. Set up the equation that you would use to calculate the acceleration of the bike.
4. Solve the equation in #3.
5. What units are used for acceleration?
5. The bike changes its velocity again, going from 16 m/s to a stop over a period of 8 seconds.
Set up the equation.
6. What is its acceleration? Make sure to include + or -
How can you measure the velocity of a mealworm?