Question

Assertion :Displacement-time graph is a parabola corresponding to straight line parallel to X-axis, on a velocity-time graph. Reason: If $v=u+at$, then $s=ut+\frac{1}{2}a{t}^2$, where $v$ , $u$ are final and initial velocities and $a$ is acceleration, $t$ is time and $s$ is displacement traveled in time $t$.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is D Assertion is incorrect but Reason is correct

Statement 2 is correct as it follows from equations of motion.
Statement 1 is incorrect because suppose $v-t$ graph is a straight line parallel to $x-$axis. Then displacement-time curve will be a straight line and not parabola.