下图为某一质点的振动图象,从图可知,在t1和t2,两时刻|x1|>|x2|,

下图为某一质点的振动图象,从图可知,在t1和t2,两时刻|x1|>|x2|,质点速度v1、v2与加速度a1、a2的关系为( )

  A、v1<v2,方向相同     B、v1<v2,方向相反

  C、a1>a2,方向相同     D、a1>a2,方向相反

答案

  AD


解析:

  在t1时刻,质点向下靠近平衡位置运动,在t2时刻质点向下远离平衡位置运动,故速度v1与v2方向相同;由于|x1|>|x2|,所以v1<v2,A对。

在t1和t2时刻质点离开平衡位置的位移方向相反,因而回复力方向相反,加速度方向相反,但|x1|>|x2|,t1时刻回复力大于t2时刻回复力,故a1>a2,D对。

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