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Q47 (NDA-II/2022) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts

What is the nature of velocity-time graph for a car moving with uniform acceleration?

Result
Your answer: —  Â·  Correct: C
Explanation

For a car moving with uniform acceleration, the velocity-time graph is a straight line. Acceleration is defined as the rate of change of velocity with respect to time. In a velocity-time graph, the slope (gradient) of the curve represents the acceleration of the object. When acceleration is uniform or constant, the rate of change of velocity remains the same over equal intervals of time, resulting in a constant slope. Mathematically, this is represented by the first equation of motion, v = u + at, which is a linear equation of the form y = mx + c. Consequently, a constant acceleration produces a straight rising line if the acceleration is positive, or a straight falling line if it is negative (deceleration). In contrast, curved lines on such a graph would indicate non-uniform acceleration.

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