Physics · Uniformly accelerated motion, velocity-time, position-time graph, relations for uniformly accelerated motion, relative velocity
Assertion If the velocity time graph of a body moving in a straight line is as s
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
Step-by-step solution
The velocity-time graph shown is a straight line, so its slope (acceleration) is constant, making the Assertion true. The Reason states that the rate of change of a constant quantity is zero, which is a true mathematical fact. However, the Reason does not explain the Assertion because it discusses the derivative of a constant, not the constancy of acceleration derived from the graph's slope.
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