The Change in Position in a Given Amount of Time

The Change in Position in a Given Amount of Time

Motion

The change in position in a given amount of time

Georgia Performance Standards

SPS8. Students will determine relationships among force, mass, and motion.

a. Calculate velocity and acceleration.

Frame of Reference

•The Background to which you compare the motion

•This changes your perspective of motion

•______is the most common frame of reference.

•Examples:

Speed

•If the car is moving 60 mi/hr. What does that mean?

•It moves 60 miles every 1 hour.

Speed is the ______covered in a certain amount

of time.

Speed = Distance / Time

Average Speed= Total Distance/Total Time

Instantaneous speed = the speed at a given point

Example: look on your speedometer

Calculating Speed

•If Audrey rides her bike 200 meters in 45 seconds? What is her speed? ______

200 meters

What units do you use?______

Calculating Distance

•If a dog runs at a speed of 15 m/s for 1.5 minutes (90 seconds), what distance does he travel? ______

??

What units do you measure distance in?______

Calculating Time

•If a monkey is catapulted at a speed of 2.5 m/s, how long would it take for it to reach the target 50 meters away?

50 meters

What units would you use??______

Velocity

•Velocity is ______in a given direction.

•Formula for velocity:

Velocity = ______/ Time (+ direction)

•May use the speed formula with direction for velocity.

•Velocity IS A VECTOR. A vector is an arrow that shows magnitude and direction.

Examples of velocity: 45 km/hr East, 200 m/s Northwest

How is it possible for a two cars traveling on the same

road to have the same speed, but different velocities?

Calculating Net Velocity
(Total Velocity)

When two objects are moving in OPPOSITE directions in

relation to each other, you SUBTRACT to get the net velocity.

Net Velocity (of dog in relation to the ground)

=______km/hr right

7 km/hr

70 km/hr

Calculating Net Velocity
(Total Velocity)

When two objects are moving in the SAME direction in

relation to each other, you ADD to get the net velocity.

3 km/hr

Net Velocity (of dog in relation to ground)

= ______km/hr right

70 km/hr

Acceleration

•A change in ______in a given amount of time

•Acceleration Formula: A = Vf – Vi

------

Time

•Final Velocity – Initial Velocity/ Time

Question: Is acceleration affected by direction?

•If a dog is walking down the sidewalk at 2.5 m/sec and sees a cat and speeds up to 7 m/sec in 3 seconds flat, what is his rate of acceleration?

7 m/sec

3 sec

Vf = 7 m/s, Vi = 2.5 m/s,

Time= 3 sec

7-2.5/ 3 = ______

What units are used for acceleration?

______

Deceleration

•Sometimes called “negative acceleration”

•When calculating deceleration, use the formula for acceleration, but the answer will be negative

If a little boy is riding a skateboard at 5 m/sec and hits some gravel and slows down rapidly (in 2 seconds) to a stop. What is his rate of deceleration?

Vf =0, Vi= 5 m/s , Time= 2 sec

0-5/2 = ______m/s

0 m/s

2 sec

5 m/sec

Motion

•Question for you… if you are on a merry go round moving at a constant speed… which of the following would be changing… speed, direction, velocity and/or acceleration. Explain your answer.