📚 Quick Study Guide
Uniform motion, also known as constant velocity motion, describes the movement of an object traveling in a straight line at a constant speed. Here's a breakdown:
- 📏 Displacement: The change in position ($\Delta x = x_f - x_i$).
- ⏱️ Time Interval: The duration of the motion ($\Delta t = t_f - t_i$).
- 🚗 Velocity: Constant velocity is defined as displacement divided by the time interval ($v = \frac{\Delta x}{\Delta t}$). Since it's uniform, the average and instantaneous velocities are equal.
- 📈 Acceleration: In uniform motion, acceleration is zero ($a = 0$).
- 💡 Key Equations:
- $\Delta x = v \cdot \Delta t$
- $x_f = x_i + v \cdot \Delta t$
- 📝 Important Notes:
- Pay attention to units! Ensure consistency (meters, seconds, etc.).
- Velocity is a vector, meaning it has both magnitude (speed) and direction.
- Understand how to interpret position vs. time graphs (straight line with constant slope).
🧪 Practice Quiz
-
A car travels at a constant velocity of 20 m/s east for 10 seconds. What is the displacement of the car?
- A) 5 m
- B) 100 m
- C) 200 m
- D) 300 m
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An object moves with a constant velocity of 5 m/s. How long will it take to travel 25 meters?
- A) 2 seconds
- B) 3 seconds
- C) 5 seconds
- D) 10 seconds
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A train travels 120 km in 2 hours at a constant speed. What is its speed in km/h?
- A) 30 km/h
- B) 60 km/h
- C) 120 km/h
- D) 240 km/h
-
A runner maintains a constant speed of 6 m/s. How far will they run in 30 seconds?
- A) 5 m
- B) 18 m
- C) 180 m
- D) 540 m
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A bicycle travels at a constant speed of 15 m/s. How long does it take to travel 45 meters?
- A) 0.33 seconds
- B) 3 seconds
- C) 30 seconds
- D) 675 seconds
-
What is the acceleration of an object moving at a constant velocity?
- A) 9.8 m/s²
- B) Constant
- C) Increasing
- D) Zero
-
A car starts at position x = 5 m and travels at a constant velocity of 10 m/s for 5 seconds. What is its final position?
- A) 10 m
- B) 50 m
- C) 55 m
- D) 5 m
Click to see Answers
- C
- C
- B
- C
- B
- D
- C