motion isci 2002. speed: change in distance over time speed = d / t constant vs. average speed...
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Motion
ISCI 2002
• Speed: change in distance over time
• Speed = d / t
• Constant vs. Average Speed
• Speed is a ‘scalar’ quantity • No directional properties
Speed Speed
• Velocity: includes the speed of an object plus direction.
• Velocity = d / t + direction!
• Displacement • Object moves from one location to another • Distance and direction from a starting point
Velocity Velocity
Displacement Displacement
• Vectors: have both magnitude and a direction • Velocity, acceleration, displacement, etc.
• Vectors are represented by arrows
Velocity and Displacement are Vectors Velocity and Displacement are Vectors
• Parallel vectors can be summed
• When vectors are at right angles• (a) can be summed • (b) use trigonometry rules to solve
• Pythagorean Theorem
• How is the direction calculated?
Vector SummationVector Summation
Vector AdditionVector Addition
• The so-called parallelogram law gives the rule for vector addition of two or more vectors. For two vectors and , the vector sum is obtained by placing them head to tail and drawing the vector from the free tail to the free head.
Vector Resultant Vector Resultant
• Acceleration: is a change in the velocity of an object.
• Acceleration = v / t
• When you change directions, slow down, speed up, turn you are undergoing acceleration.
• Acceleration may be (+) or (-)
Acceleration Acceleration
• Speed or velocity at any given moment in time • Speedometer in your car
Instantaneous Speed and Velocity Instantaneous Speed and Velocity
When speed is not constant
draw a tangent across the point in time
• Graphs• Straight-line or linear slope indicates a direct or
proportional relationship between the variables • Speed or velocity at that specific time
• If not proportional • Slope of the line tangent to the curve of the line
Motion and GraphsMotion and Graphs
• Slope: rise/run
• Change in position (y) over time (x)
Graphical Slopes Graphical Slopes
Calculating the Slope of a GraphCalculating the Slope of a Graph
Distance-Time Graphs Distance-Time Graphs
Constant velocity (+10 m/s); No acceleration
Changing, positive velocity – acceleration (change in velocity)
Constant Velocity – No AccelerationConstant Velocity – No Acceleration
Velocity – Time Graphs Velocity – Time Graphs
Zero Acceleration
Constant Velocity – Zero AccelerationConstant Velocity – Zero Acceleration
Velocity-Time Graphs (Acceleration) Velocity-Time Graphs (Acceleration)
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