The graph on the next page shows the velocity v(t) of a runner in metres as a function of time t in seconds. By computing the area of appropriately chosen rectangles of width 1, find first an underestimate and then an overestimate of the distance travelled in the first 5 seconds.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The graph on the next page shows the velocity v(t) of a runner in metres as a function of time t in seconds. By computing the area of appropriately chosen rectangles of width 1, find first an underestimate and then an overestimate of the distance travelled in the first 5 seconds. 

 

 

 

-1
∞
7|
n
O
-5-
-4-
-3
2
1
0
-1-
-2
1
2
3
4
5
6
7
8
9
Transcribed Image Text:-1 ∞ 7| n O -5- -4- -3 2 1 0 -1- -2 1 2 3 4 5 6 7 8 9
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