In figure shown, the graph shows the variation of acceleration of body with time t. The velocity of the body at t = 0 is zero. The velocity of the body at t = 30 s is

Question

In figure shown, the graph shows the variation of acceleration of body with time t. The velocity of the body at t = 0 is zero. The velocity of the body at t = 30 s is (A) 30 m/s (B) 20 m/s (C) 40 m/s (D) none

Tardigrade Admin · Accepted Answer

Area upto 30 s; = (1/2) × 10 × 2 + (1/2) ( 1 + 2 ) × 5 + 1 × 10 + (1/2) × 5 × 1 = 30 m/s ⇒ v = 30 m/s

Q. In figure shown, the graph shows the variation of acceleration of body with time t. The velocity of the body at $t = 0$ is zero. The velocity of the body at $t = 30 s$ is

30 m/s

20 m/s

40 m/s

none

Area upto $30 s; = \frac{1}{2} \times 10 \times 2 + \frac{1}{2} (1 + 2) \times 5$

$+ 1 \times 10 + \frac{1}{2} \times 5 \times 1 = 30 m / s$

$\Rightarrow v = 30 m / s$

Q. In figure shown, the graph shows the variation of acceleration of body with time t. The velocity of the body at t=0 is zero. The velocity of the body at t=30s is