Assertion: Equations of motion can when the acceleration is $a = 2t$ where t seconds.
Reason: The slope of a $v-t$ graph with $60^o$ inclination is greater than $30^o$ inclination.
- ✓Both the Assertion and the Reason are correct and the Reason is the correct explanation of the Assertion.
- BThe Assertion and the Reason are correct but the Reason is not the correct explanation of the Assertion.
- CAssertion is true but the Reason is false.
- DThe statement of the Assertion is false but the Reason is true.
The slope of the distance–time graph gives the speed of the object.
For the particale A, the slope of the line is $\tan\theta_1=\tan30=\frac{1}{\sqrt{3}}$
For the particale B, the slope of the line is $\tan\theta_2=\tan60=\sqrt{3}$
Thus, ratio of the velocities, $\frac{\text{V}_{\text{A}}}{\text{V}_{\text{B}}}=\frac{\tan30}{\tan60}=\frac{\frac{1}{\sqrt{3}}}{\sqrt{3}}=\frac{1}3{}$