Worksheet 6.1 - Integral As Net Change - Calculus Maximus Page 5
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9Calculus Maximus
WS 6.1: Integral as Net Change
8. AP 2000-2
Two runners, A and B, run on a straight racetrack for 0
t
10
seconds. The graph above, which consists
of two line segments, shows the velocity, in meters per second, of Runner A. The velocity, in meters per
24
t
second, of Runner B is given by the function v defined by
v t
.
2
t
3
t
(a) Find the velocity of Runner A and the velocity of Runner B at time
2
seconds. Indicate units of
measure.
t
(b) Find the acceleration of Runner A and the acceleration of Runner B at time
2
seconds. Indicate
units of measure.
(c) Find the total distance run by Runner A and the total distance run by Runner B over the time interval
seconds. Indicate units of measure.
0
t
10
Page 5 of 9
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