Question

The figure shows a particle moving along x-axis subjected to three periods of acceleration (a). Rank the periods according to the increase they produce in the particle velocity, greatest first

• A. 2 > 1 > 3
• B. 2 > 3 > 1
• C. 1 > 3 > 2
• D. 1 > 2 > 3

Answer 1

The correct option is D 1 > 2 > 3

Graph of $a-t$ is given.

Area $=$ under $a-t$ graph $=|v-u|$

Area $1=15$ $(unit{)}^2$

Area $2=8$ $(unit{)}^2$

Area $3=7$ $(unit{)}^2$

$⟹A_1>A_2>A_3$

$⟹$ Change in velocity caused will be in order $1>2>3$.