WorksheetMath 124Week 2Worksheet for Week 2: Distance and SpeedSpeed is therate of changeof distance. In this worksheet we look at this relationshipusing graphs. Since speed is the rate of change of distance, on the distance graph it shouldbe related to aslope.
1. Consider the graph below, which shows how the positions of two bicycles change as timepasses.(a) Compute the average speed of Bike A from 15 to 30 minutes (so 0.25 to 0.5 hours).The answer will not be exact as you have only a graph and not the actual equationsfor the position functions.
(b) Now draw the line whose slope represents the speed you computed above on thegraph.
(c) Compute the average speed of Bike B from 30 to 31 minutes. This may be moredifficult to do than part (a). Why?

WorksheetMath 124Week 2
(d) Now draw the line whose slope is the speed you computed in part (c).
You cancompute the slope of a line using any two points on the line.Recompute theaverage speed of Bike B from 30 to 31 minutes by computing the slope of that lineas best as you can.