UNIT 2 CVM INSTANTANEOUS VELOCITY AND GRAPHICAL REPRESENTATIONS

OBJECTIVES • I CAN… • IDENTIFY AN OBJECT’S DIRECTION OF MOTION, INITIAL POSITION, AND

WHEN WE LAST LEFT OFF… Position vs. Time x Position (m) t Time (s)

Instantaneous Velocity (or simply velocity) - This refers to the specific velocity at specific

Y=MX+B X = V T + X 0 If Vavg is constant, than it

Y=MX+B X = V T + X 0 If V is constant, than it

QUICK NOTE: SPEED • SPEED IS VELOCITY WITHOUT A DIRECTION • I. E. 30

- What can you say about A’s - Direction of motion? +/-? - Initial

CONSTANT VELOCITY PROBLEMS 1. Ichiro Suzuki, of the NY Yankees, hits a line drive

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UNIT 2 CVM INSTANTANEOUS VELOCITY AND GRAPHICAL REPRESENTATIONS OF POSITON VS. TIME

OBJECTIVES • I CAN… • IDENTIFY AN OBJECT’S DIRECTION OF MOTION, INITIAL POSITION, AND RELATIVE SPEED FROM A POSITION VS. TIME GRAPH • SOLVE FOR TIME, VELOCITY, OR DISTANCE IN PROBLEMS USING THE CONSTANT VELOCITY EQUATION • DRAW 2 GRAPHICAL REPRESENTATIONS OF AN OBJECT’S POSITION VS. TIME.

WHEN WE LAST LEFT OFF… Position vs. Time x Position (m) t Time (s)

Instantaneous Velocity (or simply velocity) - This refers to the specific velocity at specific time - As opposed to an average velocity - Units (m/s)

Y=MX+B X = V T + X 0

Y=MX+B X = V T + X 0 If Vavg is constant, than it is equivalent to V 0, so the equation becomes:

Y=MX+B X = V T + X 0 If V is constant, than it is equivalent to V 0, so the equation becomes: Constant Velocity Equation

QUICK NOTE: SPEED • SPEED IS VELOCITY WITHOUT A DIRECTION • I. E. 30 M/S AS OPPOSED TO 30 M/S NORTH • THIS MAKES SPEED A SCALAR AND VELOCITY A VECTOR • SPEED IS ALSO THE MAGNITUDE OR ABSOLUTE VALUE OF VELOCITY

- What can you say about A’s - Direction of motion? +/-? - Initial Position? +/-/0? - Velocity? +/-? A Position (m) B Time (s)

- What can you say about A’s - Direction of motion? +/-? - Initial Position? +/-/0? - Velocity? +/-? - What can you say about B’s - Direction of motion? +/-? - Initial Position? +/-/0? - Velocity? +/-? A Position (m) B Time (s)

- What can you say about A’s - Direction of motion? +/-? - Initial Position? +/-/0? - Velocity? +/-? Position (m) A B Time (s)

CONSTANT VELOCITY PROBLEMS 1. Ichiro Suzuki, of the NY Yankees, hits a line drive and begins sprinting to first base. If he can run at 9. 03 m/s, how far does he get in: 1. 1. 00 s? 2. 2. 00 s?

CONSTANT VELOCITY PROBLEMS 1. Ichiro Suzuki, of the NY Yankees, hits a line drive and begins sprinting to first base. If he can run at 9. 03 m/s, how far does he get in: 1. 1. 00 s? 2. 2. 00 s? 2. The distance between home and first is 26. 82 m (88 ft). How long would it take him to reach first base? 3. The fastest recorded pitch was thrown by Aroldis Chapman, of the Cincinnati Reds, in 2010. It was recorded going 173. 3 km/h. 1. How fast was this in m/s? 2. It is 18. 39 m from the pitcher’s mound to home plate. How long did it take Aroldis’ pitch to reach home plate?