Statement-1: If displacement is a linear function of time, its average and instantaneous velocity will be same. Statement-2: If the acceleration of a moving particle is zero, the particle continues to move along the same direction.
A
Both statement 1 and statement 2 are correct and statement 2 is the correct explanation of statement 1
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B
Both statement 1 and statement 2 are correct and statement 2 is not the correct explanation of statement 1.
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C
Statement 1 is correct and statement 2 is incorrect.
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D
Statement 1 is incorrect and statement 2 is correct.
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Solution
The correct option is B Both statement 1 and statement 2 are correct and statement 2 is not the correct explanation of statement 1. If displacement is a linear function of time then velocity is constant i.e. motion will be of uniform nature. The slope of the graph will always be same at every point, so instantaneous velocity and average velocity will be equal. If acceleration is 0, then change is velocity is 0 which means velocity is constant throughout and the particle continues to move along the same direction.