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.

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)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Area of acceleration-time graph gives velocity. Area of region

(1)

gives velocity of particles

m s^{- 1}

v_{1} = 2 s \times 5 \frac{m}{s ^{2}} = 10 m s^{- 1}

Similarly,

v_{2} = 4 s \times 2 \frac{m}{s ^{2}} = 8 m / s

and

v_{3} = 1 s \times 7 \frac{m}{s ^{2}} = 7 m / s

∴ v_{1} > v_{2} > v_{3}

or

Q. 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.

Area of acceleration-time graph gives velocity. Area of region (1) gives velocity of particles ms−1 v1​=2s×5s2m​=10ms−1 Similarly, v2​=4s×2s2m​=8m/s and v3​=1s×7s2m​=7m/s ∴v1​>v2​>v3​ or

Q. 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.