Presentation on theme: "Representing Motion in a Variety of Ways"— Presentation transcript:
1 Representing Motion in a Variety of Ways Graphs:- Allows us to interpret motion without even seeing the motion occurWhat was the object’s velocity (not speed) from 0-2 sec?+2 m/sCan we derive an equation for velocity from this graph? Or any other x-t graph?X f = vt + xiX f – Xi = vt𝑉= (4𝑚−0𝑚) 2 𝑠𝑉= 4 𝑚 2 𝑠 =2 𝑚/𝑠( 𝑋 𝑓 − 𝑋 𝑖 ) 𝑡 = V𝑉= ∆𝑋 𝑡
3 Motion Maps Another way to represent an object’s motion We can go back and forth between graphs and motion maps to represent the same motionTo make a motion map, you need to draw an arrow representing positive directionConstant positive velocityXBeginning of the arrow is the reference point (origin)If the object is moving, its position will change over time. If the object is stationary, its position will remain the same as time increasesOn a motion map, this is illustrated by a single dot on the position arrow
4 Motion Maps Object is stationary X An object’s constant velocity is indicated by 2 things:The displacement between the points are constant (change in position is equal)Arrows indicating the object’s velocity are the same lengthConstant positive velocityXIf the object is stationary, then the velocity is zero and there is not an arrow indicating velocityX
5 More than one object How do we know which object is traveling faster? slope: remember, slope = velocitySteeper the slope, faster the velocityBX (m)AObject B has a greater displacement (change in position) than A IN THE SAME AMOUNT OF TIME2t (sec)
6 Review from yesterday ∆𝑥=( 𝑥 𝑓 − 𝑥 𝑖 ) Slope = ∆𝑥 𝑡 =𝑣𝑒𝑙𝑜𝑐𝑖𝑡𝑦 Y-intercept = starting positionSlope = ∆𝑥 𝑡 =𝑣𝑒𝑙𝑜𝑐𝑖𝑡𝑦Velocity IS NOT THE SAME as speedSpeedHow fastVelocityHow fastdirectionXX
7 Consider the following x-t graphs Rank these situations from greatest to least based on which shows the greatest displacement during the time from 0 to 10 sec. Use the > and = signs, but do not use the < sign.Rank these situations from greatest to least based on which shows the greatest distance traveled during the time from 0 to 10 sec. Use the > and = signs, but do not use the < sign.