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众所周知,做匀变速直线运动的物体,在t时间内的平均速度与这段时间的中间时刻t/2的瞬时速度相同.那么这个结论对于做匀变速曲线运动的物体来说是否成立呢?答案是肯定的.笔者翻阅了相关的资料,发现在这方面并没有明确的结论及证明.本文拟从平均速度的定义及运动的合成与分解的角度来详细论证这一拓展之后的结论.情景展现一质点在水平面内以恒定的加速度a沿x轴正方向运动,时刻的速度为v0,与加速度方向之间的夹角为θ,θ≠0,如图1所示.运动时间为t.试证明t时间内的平均速度与
It is well-known that the average speed of an object doing uniform linear motion at the same time t is the same as the instantaneous speed of the intermediate time t / 2 at this time, so is this conclusion true for objects moving in a uniform speed curve? Is affirmative.I read the relevant information and found that there is no clear conclusion and proof in this regard.This paper intends to demonstrate the results of this expansion from the definition of the average speed and the synthesis and decomposition of motion. A point in the horizontal plane with a constant acceleration a along the positive x-axis direction, the moment of speed v0, and the angle between the direction of acceleration θ, θ ≠ 0, shown in Figure 1. Exercise time t. Prove the average speed in t time and