Motion - Speed & Velocity© Copyright NewPath Learning. All Rights Reserved. 94-4880Visit www.newpathlearning.com for Online Learning Resources.What is motion?An object is in motion if it changes its position relative to another object. You can describe the characteristics of motion in many ways including distance, speed, velocity, acceleration and momentum.city 15km15 km/hourdistancetimespeed =Many objects in motion do not travel at a constant speed. A car traveling between two cities moves at different speeds along the way. To calculate the average speed of an object, use the total distance traveled divided by the total time.50 km80 km70 kmaveragespeed 50 km + 80 km + 70 km1 hr + 2 hr + 2 hr200 km5 hr40 kmhr===total distancetotal timeaverage speed =Graphing the Speed of an ObjectThe motion of an object can be shown on a graph with the x axis as time and the y axis as distance. To graph the motion, plot the data points that indicate the distance traveled at a particular time, and then draw a line through the points. The slope of this line represents the speed of the object. A steeper slope indicates a faster speed.time in secondsdistance in miles100200300400500600700800100012001 23 4 5 6789 10runrisefasterslope = riserunspeed =msec slope = 400 2speed = 200 m/seciles1500 km/hrnortheast30 km/hrnorthwestVelocityVelocityspeed of an object in a given direction. Velocity can provide important information. For example, although knowing the speed of a hurricane is informative, actually knowing the velocity of the storm is critical for people to determine if they are in the predicted path of destruction.SpeedSpeed describes the distance an object travels during a certain amount of time. Speed is a measurement of a rate. If a cyclist traveled a distance of 15 kilometers in an hour’s time, the bicycle was moving at a speed of 15 kilometers per hour. Speed equals the distance traveled divided by the time it took to travel. velocityvelocityAn object is in motion if it changes its position relative to another object. You can describe the characteristics of motion in many ways including distance, speed, velocity, acceleration and momentum.city 15km111111115 km/hourudddddddddiiiiiiisssssssssssssstttttttttttttttaaaaaaaaaaaaaannccccccccccccceeeeeeeeeeeeeeetimeeeeeeeeeeeeespeeddd ============Many objects in motion do not travel at a constant speed. AAAAAAAA ccccccccccccaaaaaaaaaaaaaaaarrrrrrrrrrrrrr traveling between two cities moves at different speeds alongg the way. To calculate the average speed of an object, use the totaaaaaaaaaaaaaaalllllllllllll distance traveled divided by the total time.555555500000000000000000000 kkkkkkkkkkkkkkkkkkmm888800 km70 kmaaveragespppppppppppppeeeeeeeeeeeeeeeeeeeeeeeed 50 km + 8888888888888888888000000000000000 kkkkkkkkkkkkkkkkmmmmmmm + 70 km1 hr + 2 hhhr + 2 hr200 km5 hr40 kmhr===total distancetotal timeaverage speed =The motion of an object can bbbbbbbeeeeeeeeeeee ssssssssssshhhhhhhhhhhhhoooooooooooooooooowwwwwwwwwwwwwwwwnnnnnnnnnnnnnn oooooooooonnnnnnnnnnn a gggggggrappppppppppppphhhhhhhhhhh wwwwwwwwwwwwwwwwwwwiiiiiiiiiiiiitttttttttttttthhhhhhhhhhhhhh thhhhheeeeeeeeeeeeeeeeee xxxxxxxxxxxxxxxx aaaxxxxxxxxxxxxxxxiiiiiiiiiiiiiisssssssssssssss as ttttttttttttttiiiiiiiiiiiiimmmmmmmmmmmmmmmmmmmeand the y axis as distanccccccccccceeeeeeeeeeeee. TTTTTTTTTTTTo ggggggggggraaaaaaapppppppppppppphhhhhhhhhhhhhhh ttttttttttttthhhhhhhhhhhhhheeeeeeeeeeeee mmmmmmmmmmmmmmmmooooooooootttttttiiiiiiiiion, plot thheeeeeeeeeeeeeeeeeee dddddddddddddddddddddaaaaaaaaaaaaattttttttttaaaaaaaaaaaaaaaa pppppppppppppppppppppppppppooooooooooooooooiinnnnnnnnnnnttttttttttttttttssssssssssssssssss ttttttttttttttthhhhhhhhhhat indicate the distance travvvvvvvvveeeeeeeeeeeeelllllllllllllleeeeeeeeeeeeeedddddd attttttttttttt aaaaaaaaaaaaaaa pppppppppppppppppaarticular time, and ttttttttthhhhhhhhhhhhhhhhheeeeeeeeeeeeennnnnnnnnnnnnnnnnn dddddddddddddrrrrrrrrrrrraaaaaaaaaaaawwwwwwwwwwwwwwwwwwww aaaaaaaaaaaaaaaaaaa lllllllllllllliiiiiiiiiiine through the points. The slopeeeeeee ooooooooooooofffffffffffff tttttthhhhhiiiiiiiiisssssssss llllllllllllllllliiiiiiiiiiiinnnnnnnnnnnnnnneeeeee represents the speeeeeeeddddddddddddddddddd ooooooooooffffffff ttttttttttttttttthhhhhhhhhhhe object. A steeper sloooooooooooooooppppppppppppppeeee iiiiiiiiiiiiiiinnnnnnnnnnnnnnnnndddddddddddicates aaaaaaaaa fffffffffffffffffffaaaaaaaaaaaaaasssssssssterr sssssssssssssssppppppppppppppppeeeeeeeeeeeed.time in secondsdistance in miles100200300400500600700800100012001 2 3 45 6 7 89 10runurisesesfasterslllllllllllooooooooooooooppppppppppppppppppppeeee = riserunsssssssspppppppppppppeeeeeeeeeeeeeeeeeeeeeeeeeddddddddddddd =================msec ssssssssssssssslopeeeeeeeeee ============ 4444444444444444444440000000000000000000000000 22222222222speed = 200 m/sec km00555555550000000000000000000000 m//0 km///hhh00000000 km/h0000 km/hm/hrm/hnnnnorthenorthennnnnnnnnnorthennnnorthennnnnnnnnoonnnnnnnoeaahhhhhhhhhheaheaeastea30 km/hrnorthwnorthwwwwnorthwnorthwnorthworthwwnnoorthwesteststeeseseeeeVeeeeeeeeeeeeellllllllllllloociiiiiiiiiiiittttttttyyyyyyyyyyyyyyyyyyyyyyyspeeddddddddddd oooooooooooooooffffffffffffffffffffffff aaaaaaaaaaan oooooooooooobbbbbbbbbbbbbbbbbbbbbjeecccccccccccccctttttttttttt iiiiiiiiiiiiiiiiiinnnnnnnnnn aaaaaaaaaaaaaa ggggggggggggggggggggggiiiiiiiiiiiiiiiiiivvvvvvvvvvvvvvveeeeeeeeeeeennnnnnnnnn ddddddddddddddddddddiiiiiiiiiiiiiirrrrrrreeeeeeeeeeeeeeeccccccccccccctttttttttttttiiiiiiiiiiooonnnnnnnnn. VVVVVVVVVVVVVVVVVVeeeeeeeeeelocitycccccan ppppppppppppppppprrrrrrrrroooooooooooovvvvvvvvvviiiddddddddddddddddddeeeeeeeeeee iiiiiiiiiiimmmmmmmmmmmmmmmpppppportant iinnnnnnfffffffffffffffffffffooooooooooooooorrrrrrrrrmmmmmmmmmmmaaaaaaaaaaatttttttttttttiiiiiiiiiiiiiiiiiiooooooooooooonnnnnnnn. For eeeeeeeeeeexxxxxxxxxxxxxxxxaaaaaaaaaaaaammmmmmmmmmmmmmmpppppppppppppppplllllllllle, although knowiiiiiiiinnnnnnnnnnnnngggggggggggggggg tttttttttttthhhhhhhhhhhhhhheeeeeeeee speeeeeeeeeeeeeddddddddddddddddd oooooooofffff a hurricane is informativeeeeeeeeee,, aaaaaaaaaaaccccccccctttttttttuuuuuuuuuuuuuually knowing the velocity of ttttttthhhhhhhhhe stttttttttttoooooooooorrrrrrrrrrrrrrmmmmmmmmmmmmmm is critical for people to dettttttttteeeeeeeeeeerrrrrrrrrrrmmmmmmmmmmmmiine iiiiiiiiiffffffffffffffff ttttttttthhhhhhhhhhhheeeeeeeeyyyyyyyyyyyy are in the predicteedddddddddddd path of ddddddddddddddeeeeeeeeeeeeeeeeeeeesssssssssssssssssssstttttttttttttttttrrrrrrrrrrrrrrrrrrrruuuuuctttttiiiiiiiiiiiiiooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnn...Speed describes the distance an object travels during a certain amount of time. Speed is a measurementof a rate. If a cyclist traveled a distance of 15 kilometers in aaannnnnnnnnnnnnnnn hhhhhoooooooooooooouuuuuuuuuuuuur’s timmmmmmmmmmmmmmeeeeeeeeee, ttttttttttttthhhhhhhhhe bicyyyyyyyyyyyyyyycccccccccccccclllllllleeeeeeeee wwwwwwwwwwwwas mmmmmmmmmmmmoooooooooooooovvvvvvvvvvvvvvviiiiiiiiiiiiiiinnnnnnnnnnnnnnnnnngggggggggggg at a ssssssssspppppppppppppppeeeeed of 15 kilometers per hour. Speed equals the distance traveled ddddddddddddddiiiiiiiiiiiiiiviiiiiiiiiiiiddddddddddddddded by tttttttttttthhhhhhhhhhhhhhhhhhee ttttttttttttiiiiiiiiiiimmmmmmmmmmme it tooooooooookkkkkkkkkkkkkkkk ttttto travvvvvveeeeeeeeeeeeeellllllllllllll.... yyyyyvvvvvvvvvvvvvvvvvytyyyytyvvvvvvvvvvveeeeeeeeeeeeeeeeeeellllllllllllllooociteeeeeeeeveeeeeeeellllllllllllllooooooooooooociteeeeeeeevvvvvvvelocity
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