Q.
The velocity-time graph of a body is shown in figure. The ratio of the ... during the intervals $OA$ and $AB$ is….
A) Average velocities :2
B) $\frac{OA}{AB}:\frac{1}{3}$
C) Average accelerations, same as distance covered
D) Distance covered : $\frac{1}{2}$
Explanation
(b) (i) $\frac{\frac{1}{2} \times OA \times AC}{OA} + \frac{\frac{1}{2} \times AB \times AC}{AB} = 1$
(ii) tan60${^\circ}$=$\frac{CA}{OA}$ and tan30${^\circ}$=$\frac{CA}{AB}$
$OA$ tan60${^\circ}$=$AB\ $tan $30{^\circ}$
or $\frac{OA}{AB} = \frac{tan30{^\circ}}{tan60{^\circ}} = \frac{1}{\sqrt{3}} \times \frac{1}{\sqrt{3}} = \frac{1}{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.