Free Fall Quiz: Test Your Understanding of 'g' and Motion

📚 Quick Study Guide

• 🍎 Acceleration due to Gravity (g): Near the Earth's surface, all objects accelerate downwards at approximately $g = 9.8 m/s^2$, neglecting air resistance.
• ⏱️ Free Fall Definition: Free fall refers to the motion of an object solely under the influence of gravity.
• 🚀 Key Formulas:
  • 📏 Velocity: $v = v_0 + gt$, where $v_0$ is the initial velocity.
  • 🔭 Displacement: $y = v_0t + \frac{1}{2}gt^2$
  • 💡 Velocity-Displacement Relation: $v^2 = v_0^2 + 2gy$
• 💨 Assumptions: These formulas assume negligible air resistance and constant gravitational acceleration.
• 🧠 Important Note: In free fall, an object's mass does not affect its acceleration, assuming air resistance is negligible.

🧪 Practice Quiz

1. A ball is dropped from rest. After 3 seconds, what is its velocity (ignoring air resistance)?
   1. 3.3 m/s
   2. 9.8 m/s
   3. 29.4 m/s
   4. 44.1 m/s
2. An object is thrown upwards with an initial velocity of 19.6 m/s. What is the time it takes to reach its maximum height (ignoring air resistance)?
   1. 1 second
   2. 2 seconds
   3. 3 seconds
   4. 4 seconds
3. A stone is dropped from a cliff. If it takes 5 seconds to hit the ground, how high is the cliff (ignoring air resistance)?
   1. 49 m
   2. 98 m
   3. 122.5 m
   4. 245 m
4. An object in free fall experiences constant:
   1. Velocity
   2. Acceleration
   3. Displacement
   4. Kinetic Energy
5. If two objects of different masses are dropped simultaneously from the same height (ignoring air resistance), which one will hit the ground first?
   1. The heavier object
   2. The lighter object
   3. They will hit the ground at the same time
   4. It depends on the shape of the objects
6. A ball is thrown downwards with an initial velocity of 5 m/s. After 2 seconds, how far has it fallen (ignoring air resistance)?
   1. 9.8 m
   2. 19.6 m
   3. 29.6 m
   4. 39.2 m
7. What is the acceleration of an object at its maximum height when thrown upwards (ignoring air resistance)?
   1. 0 m/s²
   2. 4.9 m/s² downwards
   3. 9.8 m/s² downwards
   4. 9.8 m/s² upwards