The velocity-time graph of a body is shown in fig. The ratio of average acceleration during the intervals OA and AB is

Question

The velocity-time graph of a body is shown in fig. The ratio of average acceleration during the intervals OA and AB is (A) 1 (B) (1/2) (C) (1/3) (D) 3

Tardigrade Admin · Accepted Answer

During OA, acceleration = tan 30°=(1/√3) m / s 2 During AB, acceleration =- tan 60°=-√3 m / s 2 Required ratio =(1 / √3/√3)=(1/3)

Q. The velocity-time graph of a body is shown in fig. The ratio of average acceleration during the intervals $O A$ and $A B$ is

1

$\frac{1}{2}$

$\frac{1}{3}$

3

During $O A$ , acceleration $= tan 3 0^{\circ} = \frac{1}{3} m / s^{2}$
During $A B$ , acceleration $= - tan 6 0^{\circ} = - 3 m / s^{2}$
Required ratio $= \frac{1/ 3}{3} = \frac{1}{3}$

Q. The velocity-time graph of a body is shown in fig. The ratio of average acceleration during the intervals OA and AB is

1

21​

31​

3

During OA, acceleration =tan30∘=3​1​m/s2 During AB, acceleration =−tan60∘=−3​m/s2 Required ratio =3​1/3​​=31​

Q. The velocity-time graph of a body is shown in fig. The ratio of average acceleration during the intervals $O A$ and $A B$ is

$\frac{1}{2}$

$\frac{1}{3}$

During $O A$ , acceleration $= tan 3 0^{\circ} = \frac{1}{3} m / s^{2}$
During $A B$ , acceleration $= - tan 6 0^{\circ} = - 3 m / s^{2}$
Required ratio $= \frac{1/ 3}{3} = \frac{1}{3}$