The variation of velocity of a particle with time moving along a straight line is illustrated in the following figure. The distance travelled by the particle in four seconds is.

Options

A. 60 m
B. 55 m
C. 25 m
D. 30 m

Answer

B

Explanation

Distance = Area under `v - t` graph
=`A_1 + A_2 + A_3 + A_4`
=`(1)/(2) xx 1 xx 20 + (20 xx 1) + (1)/(2) (20 + 10)xx 1 + (10 xx 1)`
=`10 + 20 + 15 + 10 = 55 m`.