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

Options

A.
B.
C.
D.

Answer

D

Explanation

Area of acceleration-time graph gives velocity. Area of region gives velocity of particles `m s^(-1)`
`v_1 = 2s xx (5 m)/s^(2) = 10 m s^(-1)`
Similarly, `v_2 = 4s xx (2)m//s^(2) = 8 m//s`
and `v_3 = 1s xx 7 m//s^(2)` = 7m/s
`therefore v_1 gt v_2 gt v_3`