Figure here gives the speed-time graph for a body. The distance travelled between I = 1.0 second and t = 7.0 second is nearest to:

Options

A. 1.5 m
B. 2 m
C. 3 m
D. 4 m

Answer

c

Explanation

Here the areas from t=1 sec. to t =7 sec are
From t=1 to t=2 `x_1=1xx2+(1)/(2)xx1xx2=3 m`
From t=2 to t=3 `x_21xx4=4m`
From t=3 to t=4 `x_3=(1)/(2)xx1xx4=2 m`
From t4 to t=5 `x_4=(1)/(2)xx1xx-4= -2m`
Net distance =3+4+2-2-4=3m.