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Motion In A Plane

Question
CBSEENPH11020385

A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration. At the same instant another body passes through x = 0 moving in the positive x-directionn with a constant speed. The position of the first body is given by x1(t) after time ‘t’ and that of the second body by x2(t) after the same time interval. Which of the following graphs correctly describes (x1 – x2)as a function of time ‘t’?

Solution

B.

straight x subscript 1 space left parenthesis straight t right parenthesis space equals space 1 half space at squared
straight x subscript 2 space left parenthesis straight t right parenthesis space equals space vt
straight x subscript 1 minus straight x subscript 2 space equals space 1 half at squared space minus vt