Question

Assertion :The acceleration of an object at a particular time is the slope of the velocity-time graph at that instant of time. Reason: For uniform motion acceleration is zero.

• 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. Both Assertion and Reason are incorrect

Answer 1

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

Acceleration of body/object, $a=\frac{dv}{dt}$

i.e. rate of change of velocity with time

or, slope of $v-t$

For uniform motion, $v=$ constant

$\Rightarrow$ $dv=0$

$a=\frac{dv}{dt}=0$

So acceleration $=0$