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watson.nancy68 Jun 19, 2026 • 20 views

Examples of one-dimensional kinematics problems with solutions

Hey there! 👋 Physics got you down? Don't worry, one-dimensional kinematics problems are totally conquerable. I've got a quick study guide and a practice quiz to help you ace your next test. Let's get started! 🤓
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📚 Quick Study Guide

  • 📏 Displacement: Change in position ($\Delta x = x_f - x_i$).
  • ⏱️ Velocity: Rate of change of displacement ($v = \frac{\Delta x}{\Delta t}$). Average velocity is total displacement divided by total time.
  • acceleration 🏎️ Acceleration: Rate of change of velocity ($a = \frac{\Delta v}{\Delta t}$).
  • Kinematic Equations (Constant Acceleration):
    • $v_f = v_i + at$
    • $\Delta x = v_i t + \frac{1}{2} a t^2$
    • $v_f^2 = v_i^2 + 2 a \Delta x$
    • $\Delta x = \frac{1}{2}(v_i + v_f)t$
  • 💡 Problem-Solving Tips:
    • Read the problem carefully.
    • Identify knowns and unknowns.
    • Choose the appropriate kinematic equation.
    • Solve for the unknown.
    • Check your answer (units, sign, magnitude).

Practice Quiz

  1. A car accelerates from rest to 20 m/s in 5 seconds. What is its acceleration?
    1. 2 m/s²
    2. 3 m/s²
    3. 4 m/s²
    4. 5 m/s²
  2. A ball is thrown vertically upwards with an initial velocity of 15 m/s. What is the maximum height it reaches? (Assume g = 9.8 m/s²)
    1. 8.62 m
    2. 11.48 m
    3. 22.96 m
    4. 34.44 m
  3. A cyclist travels 100 meters in 10 seconds at a constant velocity. What is the cyclist's velocity?
    1. 5 m/s
    2. 10 m/s
    3. 15 m/s
    4. 20 m/s
  4. An object starts from rest and accelerates at 3 m/s² for 4 seconds. How far does it travel?
    1. 12 m
    2. 18 m
    3. 24 m
    4. 30 m
  5. A train moving at 30 m/s applies brakes and decelerates at a rate of -2 m/s². How long does it take to come to a complete stop?
    1. 10 s
    2. 12 s
    3. 15 s
    4. 18 s
  6. A stone is dropped from a bridge. If it takes 3 seconds to hit the water, how high is the bridge? (Assume g = 9.8 m/s²)
    1. 29.4 m
    2. 44.1 m
    3. 58.8 m
    4. 88.2 m
  7. A runner accelerates from 2 m/s to 6 m/s over a distance of 8 meters. What is the runner's acceleration?
    1. 1 m/s²
    2. 2 m/s²
    3. 3 m/s²
    4. 4 m/s²
Click to see Answers
  1. C
  2. B
  3. B
  4. C
  5. C
  6. B
  7. B

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