Find the total displacement of body from
Answers
Answer:
The area under the velocity-time graph gives the displacement of a body
as the graph has been already sectioned in different parts therefore :
area under the slope = area of ABF + area of BCGF + area of CDHG + area of DHIE
AREA OF ABF = 1/2 * AF *FB
= 1/2 * 2 * 5
= 5m
AREA OF BCGF = FG * GC
= (AG - AF) * 5
= (6 - 2 ) * 5
= 4*5
= 20m
AREA OF CDHG = 1/2 * (DH + CG ) * (GH)
= 1/2 * (10 + 5 ) * (AH - AG)
= 1/2 * 15 * (8 - 6 )
= 1/2 * 15 * 2
= 15m
AREA OF DHIE = 1/2 * (DH + IE ) * HI
= 1/2 * (10 + 5 ) * (AI - AH )
= 1/2 * 15 * (10 - 8 )
= 1/2 * 15 * 2
= 15m.
area under slope = (5 + 20 + 15 +15 )m
= 55m.