10.1 MEASURING MOTION I CAN… explain how motion is dependent of the observers frame of reference. explain motion in terms of position, displacement, velocity, and acceleration which are all vector properties. draw and interpret motion diagrams to represent position and velocity of an object. calculate the displacement or change in position of an object. distinguish between distance and displacement, (speed and velocity) describe velocity as a vector property that represents the rate at which position changes calculate average velocity, which may be positive or negative. recognize the difference between average speed and average velocity. recognize the difference between instantaneous speed and average speed. recognize constant velocity on a motion diagram. MOTION An object’s change in position relative to a reference point. You must observe the object in relation to another object that stays in place: stationary object , reference point, or reference frame. Ex: Comparing a hot air balloons movement to a mountain in the background. (n,s,e,w) VECTORS a physical quantity that includes both size and direction. DISTANCE V. DISPLACEMENT Distance: the length of the path an object travels Displacement: is the distance and direction of an object’s final position from its initial position. Differences: Distance can be a straight line, but doesn’t have to be. Displacement must be a straight line. (Displacement may be shorter) Displacement must include a particular direction. SPEED Speed: the distance traveled divided by the time interval during which the motion occurred. Equation: s=d/t Units: SI unit for speed is meters per second (m/s). Will also be seen as km/h or mi/h. Why? Constant Speed: object covers equal distances in equal amounts of time. Ex: race car travels a distance of 96 meters every second. Time (s) Distance (m) 0 0 1 96 2 192 3 288 DISTANCE-TIME GRAPH X axis=independent variable, y axis=dependent variable These lines are representing constant speed. Which line represents the fastest moving object? How do you know? How would an object at rest be represented? AVERAGE SPEED, INSTANTANEOUS SPEED, VELOCITY Total distance/Total Time=average speed Ex: a wheel chair racer finishes a 132 m race in 18s. v=d/t=132m/18s=__________ 7.3m/s Instantaneous Speed: measured in an infinitely small time interval. Ex: car speedometer Velocity: the speed of an object in a particular direction PRACTICE CALCULATING VELOCITY Find the velocity in m/s of a baseball thrown 38 m from third base to first base in 1.7 seconds 22m/s toward first base Metal stakes are sometimes placed in glaciers to help measure a glacier’s movement. For several days in 1936, Alaska’s Black Rapids glacier surged as swiftly as 89 meters per day down the valley. Find the glacier’s velocity in m/s.