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下列有关做匀速直线运动的物体的说法中，正确的是（　　） A．由速度v=s/t可知，速度与路程成正比 B．由速度v=s/t可知，速度与时间成反比 C．物体运...

Mar 19, 2024

下列有关做匀速直线运动的物体的说法中，正确的是（　　） A．由速度v=s/t可知，速度与路程成正比 B．由速度v=s/t可知，速度与时间成反比 C．物体运动的时间越长，则路程越大 D．匀速直线运动的物体的速度不能由公式v=s/t计算

Solution

Analyze choice A: "速度与路程成正比" (Velocity is directly proportional to displacement). This statement is incorrect because velocity is the rate of change of displacement with respect to time, not directly proportional to displacement

Analyze choice B: "速度与时间成反比" (Velocity is inversely proportional to time). This statement is incorrect because velocity is the displacement divided by the time taken, not inversely proportional to time

Analyze choice C: "物体运动的时间越长，则路程越大" (The longer the time of motion of the object, the greater the distance). This statement is correct for uniform motion because the distance traveled is equal to velocity times time

Analyze choice D: "匀速直线运动的物体的速度不能由公式v=s/t计算" (The velocity of an object in uniform linear motion cannot be calculated by the formula v=s/t). This statement is incorrect because for uniform motion, velocity can indeed be calculated using v=s/t

Key Concept

In uniform linear motion, the velocity of an object is constant, and the distance traveled is directly proportional to the time taken. The relationship is given by the equation

v = \frac{s}{t}

, where

v

is the velocity,

s

is the displacement, and

t

is the time.

Explanation

Choice C is correct because in uniform motion, the distance traveled by an object is the product of its velocity and the time of travel, which means that if the time increases, the distance also increases proportionally.