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JEE Main 2018 · Graphs of Motion

Graphs of Motion question from JEE Main 2018

Q32JEE Main 2018Medium

Graphs of Motion

All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.

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Answer: (c)

The graphs describe a body thrown up with constant downward acceleration: $v$ falls linearly through zero, $v$ - $x$ is a parabola, $x$ - $t$ is an inverted parabola.
Distance never decreases and the speed is greatest at the start, so the distance-time graph must start with a steep slope.
Graph (c) starts with zero slope (speed zero at start), which is inconsistent.
So the answer is (c).

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