A particle moves in a straight-line OA; the distance of the particle from O at time t seconds is x ft, where x = a + bt + ct2 (a, b > 0). What is the meaning of the constant a?

A particle moves in a straight-line OA; the distance of the particle from O at time t seconds is x ft, where x = a + bt + ct2 (a, b > 0). What is the meaning of the constant a? Correct Answer Initial position

We have, x = a + bt + ct2  ……….(1) Now from (1) we get x = a, when t = 0. This means that the distance of the particle from O at time t = 0 is a ft. Thus, a represents the initial position of the particle.

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