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Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

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Page 1: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Physics 151 Week 2 Day 3

Topics– Motion Diagrams & Motion Graphs– Motion Definitions– Velocity to position

Page 2: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

A. at t = 2 s.B. at t = 1 s and at t = 3 s.C. at t = 1 s, 2 s, and 3 s.D. P and Q never pass one another.

Slide 2-34

Ships P and Q move with the position graphs shown. Both ships are at the origin at t = 0s. When does one pass the other?

Two Ships Passing in the Night

Page 3: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

A.B. at t = 1 s and at t = 3 s.C.D.

Slide 2-34

Ships P and Q move with the position graphs shown. Both ships are at the origin at t = 0s. When does one pass the other?

Two Ships Passing in the Night

Page 4: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

A. P and Q have the same velocity at 2 s.B. P and Q have the same velocity at 1 s and 3 s.C. P and Q have the same velocity at 1 s, 2 s, and 3 s.D. P and Q never have the same velocity.

Slide 2-34

Ships P and Q move with the position graphs shown. Both ships are at the origin at t = 0s. Do P and Q ever have the same velocity? If so, at what time or times?

Two Ships Passing in the Night

Page 5: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

A. P and Q have the same velocity at 2 s.

Slide 2-35

Ships P and Q move with the position graphs shown. Both ships are at the origin at t = 0s. Do P and Q ever have the same velocity? If so, at what time or times?

Answer

Page 6: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Motion Diagrams

Page 7: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Representations of Motion

Slide 2-9

Motion diagram (student walking to school)

Table of data Graph

Page 8: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Here is a motion diagram of a car moving along a straight stretch of road:

Which of the following velocity-versus-time graphs matches this motion diagram?

Checking Understanding

A.

Slide 2-13

B. C. D.

Page 9: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Here is a motion diagram of a car moving along a straight stretch of road:

Which of the following velocity-versus-time graphs matches this motion diagram?

Slide 2-14

C.

Answer

Page 10: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Checking Understanding

Slide 2-15

A graph of position versus time for a basketball player moving down the court appears like so:

Which of the following velocity graphs matches the above position graph?

A. B. C. D.

Page 11: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Slide 2-16

A graph of position versus time for a basketball player moving down the court appears like so:

Which of the following velocity graphs matches the above position graph?

C.

Answer

Page 12: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Slide 1-7

Can you move?

Fill in the tables for these motion events by indicating whether or not a motion event is possible.  If it is, give an example.  If not, explain why not.Displacement Final Position Possible? Example/Explanation

0 0

0 Not 0

Not 0 0

Not 0 Not 0

Average Speed Average Velocity

Possible? Example/Explanation

0 0

0 Not 0

Not 0 0

Not 0 Not 0

Page 13: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Slide 1-7

There and Back

You and a friend decide to drive to Las Vegas, Nevada on Saturday over Labor Day weekend to go to a concert with some friends who live there. You figure you have to reach the vicinity of Las Vegas by 6 PM in order to meet your friends for dinner before the concert.

1. It's 574 miles from UNM to the Las Vegas strip. You'd like to stop for lunch and gas bout noon. What does your average velocity need to be?

2. It's almost all highway driving from here to Las Vegas. If you keep your speed approximately constant, what speed should your speedometer read while you are driving?

3. After you return to UNM, what is your displacement from the time you left to go to Las Vegas? What is the total distance traveled? What is your average speed and velocity?

Page 14: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Slide 2-34

Where’s the train?

A train is moving at a steady 30 m/s. At t = 0, the engine passes a signal light at x = 0. Without using any formulas, find the engine's position at t = 1s, 2s, and 3s.

Express your reasoning in words.

Page 15: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Slide 2-34

Velocity to Position: Example 1

Find the position at times t = 1, 2, 3, 4, and 5 seconds.Assume x (t = 0 sec) = 0 m.

What is the displacement of the object between t = 1s and t = 3 s?

Page 16: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Slide 2-34

Velocity to Position: Example 2

Describe in words the motion of the object whose velocity graph is given below. What is happening at t = 2 s?Draw a motion diagram of the objects motion.

Page 17: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Acceleration

Acceleration is:

• The rate of change of velocity

• The slope of a velocity-versus-time graph

Slide 2-20

Page 18: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Reading Quiz

Slide 1-6

3. If Sam walks 100 m to the right, then 200 m to the left, his net displacement vector points

A. to the right.

B. to the left.

C. has zero length.

D. Cannot tell without more information.

Page 19: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Slide 1-7

3. If Sam walks 100 m to the right, then 200 m to the left, his net displacement vector points

B. to the left.

Answer

Page 20: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

Reading Quiz

4. Velocity vectors point

A. in the same direction as displacement vectors.

B. in the opposite direction as displacement vectors.

C. perpendicular to displacement vectors.

D. in the same direction as acceleration vectors.

E. Velocity is not represented by a vector.

Slide 1-8

Page 21: Physics 151 Week 2 Day 3 Topics – Motion Diagrams & Motion Graphs – Motion Definitions – Velocity to position

4. Velocity vectors point

A. in the same direction as displacement vectors.

Slide 1-9

Answer