问题 选择题

建筑材料被吊车竖直向上提升过程的运动图象如图所示,下列相关判断正确的是

A.30~36秒处于超重状态

B.30~36秒的加速度较0~10秒的大

C.0~10秒与30~36秒平均速度相同

D.0~36秒提升了36m

答案

BC

题目分析:A、根据v-t图象可知:30~36s内物体匀减速上升,由竖直向下的加速度;处于失重状态;错误

B、v-t图象的斜率为物体运动的加速度,由图知0~10s的加速度为,30~36s的加速度为,负号说明方向向下,可知;正确

C、0~10s内匀加速运动,平均速度为,30~36s内平均速度为,则;正确

D、通过v-t图象包围的面积求出整个过程上升高度;错误

故选BC

点评:本题的关键在于能够通过v-t图象对物体进行运动过程分析和受力分析,知道图线的斜率、面积的物理意义;再正确运用牛顿第二定律解决问题

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