One-Dimensional Kinematics

One Dimensional Kinematics

Objective: Becoming familiar with Kinematics. We will study terms such as scalars, vectors, distance, and displacement

Definitions:

One-dimension: straight line, to the left or to the right, up or down, east or west, etc.

Kinematics: the study of motion using words, numbers, graphs and equations

From the following which are scalars and which are vectors?

(A) 5 meters(B) 30 meters/second East(C) 20 degrees Celsius (D) 4000 calories(E) -10 centimeters

Visual describing distance vs displacement

https://vimeo.com/26479781

4:12 – 4:50

Concept Question

Can you drive your car in such a way that the distance it covers is (a) greater than (b) equal to, or (c) less than the magnitude of its displacement?

In each case, give an example if your answer is yes, explain why not if your answer is no.

Exit Ticket

What was easy to understand?

What was confusing to understand?

Any suggestions?

DO NOW:

Objective: Discovering the difference between speed and velocity

You walk .5mi East to your friends house, then you walk .3 miles West to the park.

What is the distance you traveled?What is your displacement?

Average Speed Problem:

My wife ran a marathon(26.2 miles) with a speed of 2.4 meters/second. How long did it take her to run the marathon?

Average Speed Visual:

http://www.physicsclassroom.com/mmedia/kinema/trip.cfm

Need help with Dimensional Analysis:

https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/dimensional-analysis-units-algebraically

Go to www.khanacademy.org and type in Dimensional Analysis (6 minute video)

Conceptual Checkpoint:

Average Velocity Problem:

__(Name)_ sprints _______ meters in __________ seconds. If he/she takes 50 seconds to walk back to the starting line. If the “sprint direction” is taken to be positive, what is:

A) The average sprint velocity? B) The average walking velocity? C) The average velocity for the complete trip?

DO NOW:

It was a dark and stormy night, when suddenly you saw a flash of lightning. 3.5 seconds later you heard the thunder. Given that the speed of sound in air is about 340 m/s, how far away was the lightening bolt?

DO NOW (Honors):

A finch rides on the back of a Galapagos tortoise, which walks at the stately pace of 0.06 m/s. After 2.0 minutes the finch tires of the tortoise’s slow pace, and takes flight in the same direction for another 2.0 minutes at 12 m/s. What was the average speed of the finch for the 4-minute interval?

Visual of position vs. time graph

https://vimeo.com/26479781

7:00 – 9:20

Graph #1 (position vs. time)

Graph #2 (Position vs. time)

Average velocity vs Instantaneous Velocity

Instantaneous Speed - the speed at any given instant in time.

Average Speed - the average of all instantaneous speeds; found simply by a distance/time ratio.