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The position-time relation of a particle moving along the x-axis is given by x = a - bt + ct2 where a, band c are positive numbers. The velocity-time graph of the particle is ______. -

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Question

The position-time relation of a particle moving along the x-axis is given by x = a - bt + ct2 where a, band c are positive numbers. The velocity-time graph of the particle is ______.

Options

MCQ
Fill in the Blanks

Solution

Explanation:

Given x = a - bt + et2

∴ Velocity V = `"dx"/"dt" = "d"/"dt" ("a" - "bt" + "ct"^2)` = - b + 2ct

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