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Linear Motion - PowerPoint PPT Presentation

Linear Motion. Edison Business Mr. Marrero. What is kinematics?. Branch of physics that describes the motion of objects. Think of your lab. Average Speed. Definition - Distance covered in a period of time : Equation – v = average speed - (m/s) – meters per second

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Linear Motion

Mr. Marrero

• Branch of physics that describes the motion of objects

• Definition - Distance covered in a period of time:

• Equation –

• v = average speed - (m/s) – meters per second

• d = distance covered (m) – meters

• t = time (s) - seconds

v = average speed

vi = initial speed

vf = final speed

Another Way

D

D

T

T

Think again – Typical Problem

Think again – Typical Problem

Think again – Typical Problem

Practice and 8 seconds

Bellwork and 8 seconds

• Explain how you think the object in the following Velocity (speed) vs time graph is moving

Speed Vs Time Graphs and 8 seconds

Slope

Speed (m/s)

Area under curve

Time (s)

a = and 8 secondsD V = Vf - Vi

D t t

Definition – Rate of change of speed in a period of time.

Equation –

a = acceleration (m/s2) = meters per second2

Vi = initial speed or velocity (m/s) = meters per second

Vf = final speed or velocity (m/s) = meters per second

t = time (s) = seconds

Acceleration

What’s happening? and 8 seconds

Speed (m/s)

Speed (m/s)

Time (s)

Time (s)

What’s happening? and 8 seconds

Speed (m/s)

Speed (m/s)

Time (s)

Time (s)

Typical problems and 8 seconds

• Find the acceleration of the object

Typical problems and 8 seconds

• Find the total distance traveled by the object

Practice and 8 seconds

To solve physics problems and 8 seconds

• Identify known variables with units

• Identify unknown variables

• Identify the proper equation

• “plug in” numbers into equation

• solve for unknown

• round if necessary

Average Speed and 8 seconds

• Definition - Distance covered in a period of time:

• Equation –

• v = average speed - (m/s) – meters per second

• d = distance covered (m) – meters

• t = time (s) - seconds

Typical Problem and 8 seconds

• A race car runs 540 Km in 3 hours. What is the average speed of the car?

Identify known variables and 8 seconds

d = 540 km

t = 3 hrs

Identify unknown

v = ?

Identify proper equation

Plug in numbers

Solve for unknown

v= 180 km /hr

Use the steps

Example #2 and 8 seconds

• A plane takes 2 hours to travel from San Juan P.R. to Orlando FL. If Orlando is 900 Km north of San Juan, What is the average speed of the plane?

Example #3 and 8 seconds

• A marathon runner maintains a constant speed of 7 m/s during a 1000 m race. How much time did it take the runner to reach the finish line?

Example # 4 and 8 seconds

• What is the distance covered by jaguar after running for 10 seconds after Mr. Marrero at 1000 km/h.

a = and 8 secondsD V = Vf - Vi

D t t

Definition – Rate of change of speed in a period of time.

Equation –

a = acceleration (m/s2) = meters per second2

Vi = initial speed or velocity (m/s) = meters per second

Vf = final speed or velocity (m/s) = meters per second

t = time (s) = seconds

Acceleration

Example: and 8 seconds

• A train accelerates from rest to 18 m/s in 6 seconds. What is it’s acceleration?

Example and 8 seconds

A race car decelerates from 30 m/s to 15 m/s in 5 seconds. What is it’s acceleration?

Solve for V and 8 secondsf

Vf = Vi + at

Acceleration rewritten!!

Example: and 8 seconds

• A rocket travels from rest with an acceleration of 10 m/s2. What is the speed of the rocket after 5 seconds?

Example: and 8 seconds

• A ball rolls down a hill with an initial speed of 5 m/s. If the ball rolls with an acceleration of 10 m/s2, how much time does it take for it to reach a speed of 20m/s?

Independent of V and 8 secondsf

• d = distance or displacement (m)

• Vi = initial speed or velocity (m/s)

• t = time (s)

• a = acceleration (m/s2)

d = Vi t + ½ a t2

Example: and 8 seconds

• A Plane accelerates from rest at 5 m/s2. What is it’s displacement after 10 seconds?

V and 8 secondsi = initial speed or velocity (m/s)

Vf = final speed (m/s)

d = distance (m)

a = acceleration (m/s2)

Independent of time

• Vf2 = Vi2 + 2 ad

Example and 8 seconds

• A plane needs a speed of 80 m/s to lift off. If the track is 2 x 103m, what must its acceleration be to reach take of speed?

Practice and 8 seconds

Free Fall and 8 seconds

• Free Fall – motion with no acceleration other than that provided by gravity

a = g = 9.81 m/s and 8 seconds2

All Falling objects in free fall accelerate at the same rate

REGARDLESS OF THEIR MASS!!!!!!!!!!

For all “free fall” problems’ assume:

Gravitational Acceleration

• a = acceleration (m/s2)

• g = acceleration due to gravity (m/s2)

Example: and 8 seconds

• A basketball is dropped from the roof of a coliseum.

• a) What is the ball’s speed after 4 seconds?

• b) How tall is the coliseum?

Example: and 8 seconds

• A student drops a stone from a bridge into the river.

• If it takes 25 seconds for the stone to hit the river, how tall is the bridge?

• What is the speed of the rock when it hits the river?