Two particles are projected simultaneously from the same point, with the same speed, in the same...
0Two particles are projected simultaneously from the same point, with the same speed, in the same vertical plane, and at different angles with the horizontal in a uniform gravitational field acting vertically downwards. A frame of reference is fixed to one particle. The position vector of the other particle, as observed from this frame, is \( \vec{r} \). Which of the following statements is correct?
(1) \( \vec{r} \) is a constant vector.
(2) \( \vec{r} \) changes in magnitude as well as direction with time.
(3) The magnitude of \( \vec{r} \) increases linearly with time; its direction does not change.
(4) The direction of \( \vec{r} \) changes with time; its magnitude may or may not change, depending on the angles of projection.
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