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GCSE物理运动学:速度速率与图像全攻略 | GCSE Physics Kinematics: Speed, Velocity and Graphs Guide

2026-06-17 10:03 · 本文部分内容由AI辅助创作
GCSE Edexcel Physics Motion: Speed, Velocity and Graphs

GCSE物理运动学:速度速率与图像全攻略

Motion is the foundation of mechanics in GCSE Edexcel Physics. Whether you're tackling Paper 1 or Paper 2, a solid grasp of speed, velocity, acceleration, and motion graphs is essential for top marks.

运动是 GCSE Edexcel 物理力学的基础。无论 Paper 1 还是 Paper 2,牢固掌握速度、速率、加速度和运动图像是拿高分的关键。

Scalar vs Vector 标量与矢量

A scalar has magnitude only — speed, distance, mass. A vector has both magnitude and direction — velocity, displacement, force, acceleration. Mixing up speed (scalar) and velocity (vector) is a common exam mistake. If a car travels 100 m north in 5 s, its speed is 20 m/s but its velocity is 20 m/s north.

标量只有大小——速率、路程、质量。矢量有大小和方向——速度、位移、力、加速度。混淆速率和速度是常见考试错误。车5秒向北行100米,速率20 m/s,速度20 m/s向北。

Speed, Velocity and Acceleration 速度速率加速度

Speed = distance / time, units m/s. Velocity is speed with direction: displacement / time. Acceleration is the rate of change of velocity: a = (v − u) / t, units m/s². Deceleration is negative acceleration. A key point: an object moving in a circle at constant speed still accelerates because direction changes, so velocity changes.

速率 = 路程/时间。速度是带方向的速率 = 位移/时间。加速度 = (v−u)/t,单位 m/s²。减速即负加速度。关键考点:匀速圆周运动的物体仍在加速,因为方向改变导致速度改变。

Distance-Time and Velocity-Time Graphs 运动图像

In a distance-time graph, gradient = speed. Straight diagonal = constant speed. Horizontal = stationary. Curved = changing speed — use a tangent to find instantaneous speed. In a velocity-time graph, gradient = acceleration, and area under the line = distance travelled. Straight slope = constant acceleration. Horizontal = constant velocity. Split the area into rectangles and triangles to sum distance.

路程-时间图中斜率 = 速率。笔直斜线 = 匀速,水平 = 静止,曲线 = 变速——画切线求瞬时速率。速度-时间图中斜率 = 加速度,线下面积 = 行驶距离。笔直斜线 = 匀加速,水平 = 匀速。将面积分解为矩形和三角形求和。

SUVAT Equations 运动学方程

SUVAT links s (displacement), u (initial velocity), v (final velocity), a (acceleration), t (time). Edexcel GCSE needs: v = u + at, v² = u² + 2as, s = ut + ½at². Only for constant acceleration. Method: list all five, identify the three known, pick the equation connecting them to the unknown. Show working clearly for method marks.

SUVAT关联位移s、初速度u、末速度v、加速度a、时间t。Edexcel GCSE主要用:v = u + at、v² = u² + 2as、s = ut + ½at²。仅适用于匀加速。解题法:列出五量,确定三个已知值,选方程求未知量。步骤清晰以获过程分。

Free Fall and Gravity 自由落体与重力

All objects near Earth fall at g = 9.8 m/s² (use 10 for GCSE). In a vacuum, a feather and hammer fall together regardless of mass. Dropped from rest: u = 0, a = +g. Thrown upward: decelerates at g until v = 0 at the highest point, then a = +g back down.

地球表面所有物体以 g = 9.8 m/s²(GCSE用10)下落。真空中羽毛和锤子同时落地,与质量无关。静止下落:u = 0,a = +g。上抛:以g减速至最高点v = 0,再以a = +g回落。

Newton's Laws 牛顿定律

First Law: inertia — object stays at rest or uniform motion unless resultant force acts. Second Law: F = ma, force (N) = mass (kg) × acceleration (m/s²). Third Law: every action has equal and opposite reaction on different objects. In problems, identify all forces, find the resultant, then apply F = ma.

第一定律:惯性——物体保持静止或匀速,除非受合外力。第二定律:F = ma,力(N) = 质量(kg) × 加速度(m/s²)。第三定律:作用力与反作用力等大反向,作用在不同物体上。解题:找所有力,求合力,用 F = ma。

Terminal Velocity and Stopping Distance 终端速度与刹车距离

When falling through a fluid, weight pulls down and drag pushes up. Drag increases with speed until it equals weight, then resultant force = 0 and the object falls at constant terminal velocity. A skydiver reaches about 55 m/s before opening the parachute. Stopping distance = thinking distance + braking distance. Thinking distance depends on reaction time (tiredness, alcohol). Braking distance increases with speed squared — double speed, four times braking distance.

物体在流体中下落,重力下拉、阻力上推。阻力随速度增大至等于重力时合力为零,以恒定终端速度下落。跳伞者开伞前约达55 m/s。刹车距离 = 反应距离 + 制动距离。反应距离取决于反应时间(疲劳、酒精)。制动距离与速度平方成正比——速度翻倍,制动距离四倍。

Required Practical and Exam Tips 实验与考试技巧

The Edexcel practical measures speed with light gates (speed = distance / time) or ticker tape on a ramp where wider dot spacing means higher speed. Always repeat and calculate a mean. Exam tips: always write units, use "because" and "therefore" for explain questions, convert km to m and minutes to seconds before substituting, show formula and substitution for method marks, use 2-3 significant figures, and check your answer makes physical sense.

Edexcel实验用光门测速(速度 = 距离/时间)或用打点计时器——点间距越大速度越高。务必重复并求平均值。考试技巧:始终写单位,解释题用"因为"和"所以",先转换单位再代入,展示公式和代入获过程分,2-3位有效数字,检查答案是否符合物理常识。

Need Expert Help 需要专业辅导?

Struggling with GCSE Physics motion? Our experienced tutors specialise in the Edexcel syllabus and can help you master distance-time graphs, SUVAT equations, and every topic you need for top grades. One-to-one online tutoring tailored to your pace.

搞不定GCSE物理运动学?我们的资深导师专精Edexcel考纲,帮你掌握运动图像、SUVAT方程及所有高分知识点。提供一对一个性化在线辅导。

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