Definition Distance (d) – the length of the path followed by an object. * If an object’s path is straight, the distance is the length of the straight line between start and finish. ** If an object’s path is NOT straight, the distance is the length of the path if you were to “straighten it out” and measure it the way you would measure the length of a curved shoelace. start finish start finish

Using the number line above, what would be the distance travelled if an object travelled from ….. - A to B - A to C - A to C and then back to A - C to B, passing through A BC A meters 1m 4m 4m + 4m = 8m 4m + 1m = 5m

5 yd 12 yd A B C Sally and Timmy are at point A. Sally walks directly to point C (taking the shortest path). Timmy also takes a “shortest path”, but has to stop at point B for lunch first. How much further has Timmy walked when he arrives? 4 yd

Definition Average Speed (s) – the distance travelled during a time interval divided by the elapsed time. s = d/  t ( or s=d/t) we often abbreviate ”  t” as “t”

Larry walks from point B to point C, and then goes directly to point A. If he walks at an average speed of 6 mph, how long does the trip take him? BC A miles d = 3mi + 4mi = 7mi s = 6 mi/h s = d/t  t = d/s = (7mi)/(6mi/h)=1.17h 1 h, 10 min Use appropriate units

Larry runs from point A to point B in 5 minutes and then proceeds to jog directly to point C, taking his time in 30 additional minutes. Find… BC A km a)Larry’s average speed during the first portion of the trip. b)The average speed during the second portion of the trip. c)Larry’s average speed for the entire trip. s = d/t = (1km)/(5min) = 0.2 km/min = 12 km/h s = d/t = (3km)/(30min) = 0.1 km/min = 6 km/h s = d/t = (4km)/(35min) = km/min = 6.86 km/h