Maple Tool 1

This tool is designed to be used with Checkpoint 2 in Section 7.1.2.

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Here is a copy of Figure 2 from 7.1.2. The units for velocity  are miles per hour, and for time  the units are minutes.

The following list contains the velocities v  in miles per hour at every half-minute except 4.5 minutes (10th entry) and 10.5 minutes (22nd entry).  Estimate these velocities from the graph, and enter them in the list (replace "???") before trying to execute the next command.

>	v:=[0,8.5,14.0,15.0,15.0,15.0,18.2,24.5,30.0,32,31.0,30.7,31.0,31.5,30.0,25.1,20.0,17.7,17.0,16.2,15.0,14,13.0,12.7,11.0,6.4,0];

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Enter a value for the constant  below so that  represents the velocity in miles per minute.

>	c:=1/60; V:=c*v;

Check your value of  by observing (in Table 1) that at time  minutes, the velocity should be  miles per minute.

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Now calculate the estimated distance traveled: In each half-minute interval, we assume the velocity is constant as determined at the start of the interval, so the distance is the starting velocity times 1/2 minute.  We add these up to get the total distance (in miles).

>	TD:=sum('V[k]*0.5','k'=1..26);

Now we divide by the total time (13 minutes) to get the average speed:

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TD/13;

Finally, we convert back to miles per hour:

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%/c;

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