Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Auto stopping distance

汽车制动距离

Under optimum conditions on a dry road, the coefficient of friction may be as high as 0.8, so that you could decelerate at 0.8g = 0.8 x 9.8 m/s^2 = 7.8 m/s^2.
a. If you are traveling at 55 mi/h (24.6 m/s), how long will it take you to stop?
b. How far will you travel while stopping?

在干燥的道路上,摩擦系数可能高达0.8,因此你可以以0.8g = 0.8 × 9.8 m/s² = 7.8 m/s²的加速度减速。a. 如果你以55英里/小时(24.6 m/s)行驶,要停下来需要多长时间?b. 刹车过程中你会行驶多远?

Solution:

解法:

All constant acceleration problems can be solved using the basic motion equations.

所有匀加速问题都可以通过基本运动方程解决。

a. Using the basic motion equation
a. 使用基本运动方程
, or solving for t,
,或解出 t,

In the equation, v is the velocity at a chosen time t. In this problem the initial velocity is given, and you know that v=0 since it is the velocity at the time when you stop.

在方程中,v 是在选定时间 t 时的速度。在本题中,初始速度已给出,且已知 v=0,因为这是停止时的速度。

Examining the known and unknown quantities
leads to
导致

考察已知和未知的量

b. The stopping distance may be calculated from the motion equation:

b. 停车距离可通过运动方程计算:

Alternatively, the distance may be calculated from the combined motion equation form which eliminates the time from the calculation.

或者,可以通过结合运动方程的形式来计算距离,该形式消去了时间。
Auto stopping distance discussion
自动停止距离讨论
Example problems in mechanics
力学例题
Index

Motion with constant acceleration
索引 匀加速运动
  HyperPhysics***** Mechanics
力学
Go Back
返回