After being kidnapped on a trip to Canada, little Jimmy was able to see the speedometer of the
kidnapper's car, and carefully noted down the speeds (in km/hr) every tenth of an hour (six
minutes). Jimmy was able to send these speeds to his friend Juan via a message tied to the leg of
a pigeon. Juan wants to figure out how far away Jimmy is from where they nabbed him.
time t
0 .1 .2 .3 .4 .5 .6 .7 .8 9 1
speed v(t) 30 60 81 93 94 80 70 40 52 20 0
. Using the trapezoid rule, estimate the total distance (in km) that
Jimmy was taken, that is, estimate the integral
only the data provided- don't average to guess at times not listed.)
v(t) dt. (Use
• Using the assumption -10km ≤ v"(t) ≤ 10km, determine the
maximum error in your estimate.
+00
100
80
60
404
20
1
02
0.4
0.6
0.8
