VECTORS  Magnitude & direction  Magnitude-how much  Direction-which way  Examples  Displacement  Velocity  Weight  Acceleration SCALARS  Magnitude  Magnitude- how much  Examples  Distance  Speed  Mass

DISPLACEMENT  Straight line distance from the starting point to the ending point.  How far away is it from where it started DISTANCE  How far something travels on a path between two points

 Distance=Total of how far traveled along the path  Displacement=How far from the starting point  Examples

 Distance-the total distance walked along path  Resultant Vector-add all the vectors up to get total distance  Displacement-on a graph, use the final position on graph (x,y) to find displacement vector

 A girl goes to visit her friend. She walks 500m north, turns and walks 300 meters west.  Distance=  Displacement=

 Boy walks 1 block east, turns and goes 1 block north, turns and goes 2 blocks east, turns and goes 3 blocks north  Distance=  Displacement=

 A woman goes for a jog. She runs north 2 blocks, then east 2 blocks, then south 2 blocks, and then west 2 blocks  Distance=  Displacment=

 A person driving a car drives 6 miles east, then 12 miles north, and then 11 miles west  Distance  Displacement

 Speed-the distance traveled in a certain amount of time  Miles per hour  meters per second  Two types of speed measurements  Average speed  Instantaneous speed

 Average Speed- The total distance traveled during the total amount of time being measured  Avg. Speed= Total Distance/Total Time A family drove to 1,000 miles to a city in Florida for vacation. The trip took them 20 hours. What was their average speed? Avg. Speed= 1,000 miles/20 hours= 50 mph

 Instantaneous Speed= the speed an object is going at one particular moment in time.  Example  Driving down the highway. You need to know your instantaneous speed to ensure you aren’t going above the speed limit.

 Velocity is a vector measurement.  Vectors always include  Magnitude (speed)  Direction  Speed= 2 meters per second  Velocity= 2 meters per second in a certain direction

Distance Time Constant Speed- Is shown as a straight line on a graph

Distance Time At Rest- when time is increasing but the distance is not. the object is not moving.

Distance Time A steeper line indicates a larger distance being covered in a given time indicating higher speed Both lines are straight so both lines are constant speed

Distance Time Accelerating- A line that is curving upward is showing an increase in speed over time, meaning the object is accelerating

Decreasing Speed- A steep line that becomes less steep over time slowing down Distance Time

Fast Steady Speed Accelerating Steady speed then Stationary then returning to start

Speed Time Speed-Time graphs look a lot like Distance- Time graphs. Check the labels!! A straight horizontal line means that the speed of an object is constant. IT DOES NOT MEAN THE OBJECT IS NOT MOVING

Speed Time A line going up from left to right shows increasing speed. The moving object is accelerating The steeper the line the greater the acceleration

Speed Time A line going down from left to right shows decreasing speed. The moving object is decelerating The steeper the line the quicker the deceleration

Speed Time Steady acceleration Steady Speed Gradual Acceleration Steady Deceleration

 Acceleration- the rate of change in velocity  Units for acceleration are typically m/s 2  acceleration = (final velocity – initial velocity) time a= V f -V i t

V a t Delta V = change in velocity a = acceleration t = time