Velocity time graph problem?.

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Answer 1 · 2018-05-13T22:23:13

See below

enter image source here

Sketch graph:

enter image source here

Shade required region:

We are asked the show that the shaded region #20<=t<=26#

#s=0.375t^2-13t+202#

Area under graph from #t=20->t=26# is the area of the trapezium.

#1/2(2+6.5)*6=25.5m#

Using:

#s=0.375t^2-13t+202#

Distance from #t=20->t=26#

#s=0.375(26)^2-13(26)+202-(0.375(20)^2-13(20)+202)#

# \ \ \ \ \ =25.5m#

Shown.