Question

Assertion :If the velocity time graph of a body moving in a straight line is as shown in the figure, the acceleration of the body must be constant. Reason: The rate of change of quantity which is constant is always 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

We know that $\frac{dV}{dt}=a$

Now, the rate of change of quantity which is constant does not mean that it is zero,but its magnitude will be constant as the time will vary.

As we know that equation of line is written as $y=mx+c$

but when the value of constant $c$ will be constant it will passes through origin and its magnitude will remain same.