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Equations of Motion

Two particle ...

Question

Two particle A and B are initially at a distance x. Initial velocity of particles A and B are 10 m/s and 25 m/s respectively in the direction shown in figure and their constant accelerations are $1 m / s^{2}$ and $2 m / s^{2}$ respectively in the direction shown in figure.What should be the minimum value of x, so that these particle can just avoid collision:

A

\frac{125}{2} m

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B

\frac{75}{2} m

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C

\frac{75}{4} m

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D

\frac{125}{4} m

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Solution

The correct option is B $\frac{75}{2} m$
$F r o m t h e f i g u r e w e c l e a r l y s e e t h a t v_{r e l}^{2} = u_{r e l}^{2} + 2 a_{r e l} S_{r e l} 0 = (15)^{2} + 2 (- 3) S_{r e l} S_{r e l} = \frac{75}{2} m e t e r s .$

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