The velocit-time graph of a body moving in a straight line is shown in Fig. 2 (d) . 32. Find the displacement and the distance travelled by the body in ` 6 seconds`.
.

Options

A. 8 m , 16 m
B. 16 m, 8 m
C. 16m, 16m
D. 8 m, 8 m

Answer

A

Explanation

Displacement
= Summation of all the areas with sign
`= (A_(1)) + (- A_(2)) + (A_(3))`
`= ( 2 xx 4) + (- 2 xx 2) + (2 xx 2)`
`:.` Displacement = 8 m Distance = Summation of all the areas without sign
`= |A_(1)|+ |-A_(2)| + |A_(3)|`
`|8| + |- 4| + |4| = 8 + 4 + 4 `
`:.` Distance = 16 m