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Practice练习题

Kinematics运动学

Practice Questions · AP-Feeder · ON / BC / AB Provincial & Diploma Styles练习题集 · AP 衔接 · 安 / 卑 / 阿省考与毕业考风格

EASY MEDIUM HARD 🇺🇸 US 🇨🇦 ON 🇨🇦 BC 🇨🇦 AB AP-style MCQAP 风格选择题 AP-feeder FRQAP 衔接简答题 ON Provincial-style安大略省考风格 BC Provincial-style卑诗省考风格 AB Diploma-style阿尔伯塔毕业考风格 Honors荣誉级


Name:姓名:Date:日期:
PART I  ·  SHORT RESPONSE第一部分  ·  短答题AP-style MCQ + ON/BC short answer · 18 marksAP 风格选择题 + 安/卑省考短答 · 共 18 分

Section A · Short ResponseA 部分 · 短答题

Mix of multiple-choice and short-answer items. For MCQs, circle the letter; show enough work in the margin that a marker could verify. For short-answer items, state units in every answer. Use $g = 9.8\ \text{m/s}^2$ throughout. No calculator on Q1-Q4; calculator permitted on Q5.本节包含选择题与短答题。选择题请圈出字母答案,并在空白处写下足以让阅卷人核对的过程。短答题每道都要写出单位。全卷取 $g = 9.8\ \text{m/s}^2$。Q1-Q4 不可使用计算器;Q5 可用计算器。

Q1EASY 🇺🇸 US AP-style MCQAP 风格选择题 §1 Displacement位移 · HS-PS2-1 [3 marks][3 分]

A hiker walks $40$ m due east, then $30$ m due west along a straight path. What is the magnitude of the hiker's displacement?一名徒步者沿直线先向正东走 $40$ m,再向正西走 $30$ m。该徒步者位移的大小是多少?

  1. (A) $10\ \text{m}$
  2. (B) $70\ \text{m}$
  3. (C) $50\ \text{m}$
  4. (D) $35\ \text{m}$
Q2EASY 🇺🇸 US AP-style MCQAP 风格选择题 §2 Average velocity平均速度 · HS-PS2-1 [3 marks][3 分]

A jogger's position along a straight track changes from $+12$ m to $+92$ m in $20$ s. What is the jogger's average velocity?一名慢跑者沿直道的位置在 $20$ s 内从 $+12$ m 变化到 $+92$ m。该慢跑者的平均速度是多少?

  1. (A) $4\ \text{m/s}$
  2. (B) $4.6\ \text{m/s}$
  3. (C) $5.2\ \text{m/s}$
  4. (D) $0.25\ \text{m/s}$
Q3EASY 🇨🇦 ON ON Provincial-style安大略省考风格 §3 Acceleration加速度 · SPH3U B2 [4 marks][4 分]

A car speeds up uniformly from $12$ m/s to $30$ m/s in $6.0$ s.一辆汽车在 $6.0$ s 内从 $12$ m/s 匀加速至 $30$ m/s。

(a) Compute the acceleration, with units.计算加速度,并写出单位。 [2]
(b) Interpret the sign of the acceleration in context.结合情境解释加速度的符号含义。 [1]
(c) State one assumption your calculation relies on.写出计算所依赖的一个假设。 [1]
Q4MEDIUM 🇺🇸 US AP-style MCQAP 风格选择题 §5 Motion graphs运动图像 · HS-PS2-1 [3 marks][3 分]

On a velocity-time graph, an object's motion is a straight line from $(0\ \text{s},\ 4\ \text{m/s})$ to $(8\ \text{s},\ 20\ \text{m/s})$. What is the object's acceleration?在速度-时间图像上,某物体的运动为从 $(0\ \text{s},\ 4\ \text{m/s})$ 到 $(8\ \text{s},\ 20\ \text{m/s})$ 的直线段。该物体的加速度是多少?

  1. (A) $2\ \text{m/s}^2$
  2. (B) $2.5\ \text{m/s}^2$
  3. (C) $16\ \text{m/s}^2$
  4. (D) $0.5\ \text{m/s}^2$
Q5MEDIUM 🇨🇦 BC BC Provincial-style卑诗省考风格 §4 SUVAT匀变速方程 · Physics 11 [5 marks][5 分]

A cyclist decelerates uniformly from $12$ m/s to rest over a distance of $48$ m.一名骑行者从 $12$ m/s 匀减速至静止,经过的距离为 $48$ m。

(a) Find the acceleration.求加速度。 [2]
(b) Find the time to stop.求减速至停止所需的时间。 [2]
(c) State the assumption that lets you use the kinematic equations.写出允许使用运动学方程的假设条件。 [1]
PART II  ·  EXTENDED RESPONSE第二部分  ·  简答题AP-feeder FRQ + honors · 35 marksAP 衔接简答题 + 荣誉级 · 共 35 分

Section B · Extended ResponseB 部分 · 简答题

Show every step of reasoning. Identify the kinematic equation used before substituting values. State units in every final answer. Use $g = 9.8\ \text{m/s}^2$. Choose and state your sign convention (positive direction) at the start of each question. Calculator permitted on Q6-Q9.每一步推理都要写出。在代入数值前先注明所用运动学方程。每个最终答案都要写单位。取 $g = 9.8\ \text{m/s}^2$。每题开头请选择并说明正方向约定。Q6-Q9 可用计算器。

Q6MEDIUM 🇺🇸 US AP-feeder FRQAP 衔接简答题 §4 SUVAT (two-phase)匀变速方程(两阶段) · HS-PS2-1 [8 marks][8 分]

A car starts from rest and accelerates uniformly at $2.5\ \text{m/s}^2$ for $8.0$ s, then travels at constant velocity for a further $12$ s.一辆汽车从静止出发,以 $2.5\ \text{m/s}^2$ 的匀加速度行驶 $8.0$ s,然后以匀速行驶 $12$ s。

(a) Find the velocity after $8.0$ s.求 $8.0$ s 后的速度。 [2]
(b) Find the distance travelled during the first $8.0$ s.求前 $8.0$ s 内行驶的距离。 [2]
(c) Find the distance travelled during the constant-velocity phase.求匀速阶段行驶的距离。 [2]
(d) Find the average velocity over the whole $20$ s journey.求整个 $20$ s 行程的平均速度。 [2]
Q7MEDIUM 🇨🇦 ON ON Provincial-style安大略省考风格 §6 Free fall自由落体 · SPH3U B3 [8 marks][8 分]

A ball is thrown straight up from ground level at $24$ m/s. Take $g = 9.8\ \text{m/s}^2$ and ignore air resistance.一个球从地面竖直向上以 $24$ m/s 抛出。取 $g = 9.8\ \text{m/s}^2$,忽略空气阻力。

(a) Find the maximum height reached by the ball.求球能达到的最大高度。 [3]
(b) Find the time for the ball to reach its maximum height.求球到达最高点所需的时间。 [2]
(c) State the velocity of the ball when it returns to the launch height.写出球返回到抛出高度时的速度。 [2]
(d) Find the total time of flight.求总飞行时间。 [1]
Q8HARD 🇨🇦 BC BC Provincial-style卑诗省考风格 §5 Motion graphs运动图像 · Physics 11 [9 marks][9 分]

A train's velocity-time graph consists of three straight segments: from $0$ to $10$ s the velocity rises from $0$ to $25$ m/s; from $10$ to $30$ s it stays at $25$ m/s; from $30$ to $40$ s it falls from $25$ m/s to $0$.一列火车的速度-时间图像由三段直线构成:$0$ 到 $10$ s 速度从 $0$ 升至 $25$ m/s;$10$ 到 $30$ s 保持 $25$ m/s;$30$ 到 $40$ s 速度从 $25$ m/s 降至 $0$。

(a) Find the acceleration in each of the three phases.求三个阶段各自的加速度。 [3]
(b) Find the total displacement over the $40$ s.求 $40$ s 内的总位移。 [3]
(c) Find the average velocity over the $40$ s.求 $40$ s 内的平均速度。 [2]
(d) Describe the motion in words.用文字描述该运动过程。 [1]
Q9HARDHonors荣誉级 🇺🇸 US AP-feeder FRQAP 衔接简答题 §7 Projectile抛体运动 · HS-PS2-1 (above 1D floor)(超出一维基准) [10 marks][10 分]

A ball is launched horizontally at $20$ m/s from the top of a cliff $44.1$ m high. Take $g = 9.8\ \text{m/s}^2$.一个球从 $44.1$ m 高的悬崖顶部以 $20$ m/s 的速度水平抛出。取 $g = 9.8\ \text{m/s}^2$。

(a) Find the time for the ball to land.求球落地所需的时间。 [2]
(b) Find the horizontal range.求水平射程。 [2]
(c) Find the vertical velocity component at the moment of impact.求落地瞬间竖直速度分量。 [2]
(d) Find the speed of the ball at impact.求落地时球的速率。 [2]
(e) Find the angle of the velocity below the horizontal at the moment of impact.求落地瞬间速度方向与水平方向的夹角(低于水平方向)。 [2]
PART III  ·  MODELING / APPLIED第三部分  ·  建模与应用AB Diploma + Universal · 28 marks阿省毕业考 + 通用题型 · 共 28 分

Section C · Modeling and ApplicationsC 部分 · 建模与应用

Define symbols (with units) at the start of each question. State the kinematic equation used before substituting. Use $g = 9.8\ \text{m/s}^2$. Conclude each question with a one-sentence answer in context. Calculator permitted throughout Part III.每题开始时定义符号(含单位)。代入数值前先写出所用运动学方程。取 $g = 9.8\ \text{m/s}^2$。每题以一句结合情境的完整句子作答。第三部分全程可用计算器。

Q10MEDIUM 🇨🇦 AB AB Diploma-style阿尔伯塔毕业考风格 §4 SUVAT (applied)匀变速方程(应用) · 20–A1.3k [9 marks][9 分]

A car travelling at $30$ m/s on a highway brakes uniformly at $6.0\ \text{m/s}^2$.一辆汽车在公路上以 $30$ m/s 行驶,以 $6.0\ \text{m/s}^2$ 匀减速刹车。

(a) Find the braking distance.求刹车距离。 [3]
(b) Find the braking time.求刹车时间。 [2]
(c) If the driver has a reaction time of $0.70$ s before braking, find the distance travelled during the reaction time.若司机在刹车前有 $0.70$ s 的反应时间,求反应时间内行驶的距离。 [2]
(d) Find the total distance from hazard detection to a full stop.求从发现危险到完全停车的总距离。 [2]
Q11MEDIUM 🇨🇦 AB AB Diploma-style阿尔伯塔毕业考风格 §6 Free fall (applied)自由落体(应用) · 20–A1.5k [9 marks][9 分]

A stone is dropped from rest off a bridge and takes $2.5$ s to reach the water. Take $g = 9.8\ \text{m/s}^2$.一块石头从桥上由静止落下,经 $2.5$ s 落入水中。取 $g = 9.8\ \text{m/s}^2$。

(a) Find the height of the bridge above the water.求桥面距水面的高度。 [3]
(b) Find the speed of the stone at impact.求石头落水时的速率。 [2]
(c) Find the speed of the stone $1.5$ s after release.求石头释放后 $1.5$ s 时的速率。 [2]
(d) Find the distance fallen in the first $1.5$ s.求前 $1.5$ s 内下落的距离。 [2]
Q12HARD 🇺🇸 US AP-feeder FRQAP 衔接简答题 §4 + relative motion相对运动 · HS-PS2-1 [10 marks][10 分]

Car A passes a checkpoint moving at a constant $25$ m/s. At that same instant, Car B starts from rest at the checkpoint and accelerates uniformly at $4.0\ \text{m/s}^2$ in the same direction.A 车以恒定速度 $25$ m/s 经过检查点。在同一时刻,B 车从检查点由静止出发,以 $4.0\ \text{m/s}^2$ 的匀加速度沿同方向加速。

(a) Find the time for Car B to catch Car A.求 B 车追上 A 车所需的时间。 [3]
(b) Find the distance from the checkpoint when B catches A.求 B 车追上 A 车时距检查点的距离。 [2]
(c) Find Car B's velocity at that moment.求该时刻 B 车的速度。 [2]
(d) Explain why Car B's velocity at the catch-up moment is exactly twice Car A's constant velocity.解释为何 B 车追上 A 车时的速度恰好是 A 车匀速速度的两倍。 [3]

🇺🇸 US NGSS美国 NGSSHS-PS2-1
🇨🇦 Ontario安大略SPH3U Strand B · B2 · B2.3 · B3
🇨🇦 British Columbia不列颠哥伦比亚Physics 11: motion (position, velocity, acceleration, projectile)物理 11:运动(位置、速度、加速度、抛体)
🇨🇦 Alberta阿尔伯塔Physics 20 Unit A · 20–A1.1k · 20–A1.2k · 20–A1.3k · 20–A1.5k

Full Syllabus Map lives in ../Study Guides/Unit_1_Kinematics.html. Note: NGSS assesses 1D motion only; the projectile question (Q9) sits above the NGSS-assessed floor but is core for ON SPH3U / BC Physics 11 / AB Physics 20.完整大纲对照表见 ../Study Guides/Unit_1_Kinematics.html。注:NGSS 仅考查一维运动;抛体题(Q9)超出 NGSS 考查范围,但为安大略 SPH3U / 卑诗物理 11 / 阿省物理 20 的核心内容。