A particle moves on the positive x-axis. The particle is moving towards the origin when it passes through the point , where , with speed , where is constant. Given that the particle experiences an acceleration in a direction away from , show that it come instantaneously to rest at a point , where . Immediately the particle reaches B the acceleration changes to in a direction away from . Show that the particle next comes instantaneously to rest at .
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I have no idea on how to approach it. Please help. Thanks in advance.