A stone is dropped from a height of 45 m. How far will it have fallen after 2 se

Practice Questions

Q1
A stone is dropped from a height of 45 m. How far will it have fallen after 2 seconds?
  1. 10 m
  2. 20 m
  3. 30 m
  4. 40 m

Questions & Step-by-Step Solutions

A stone is dropped from a height of 45 m. How far will it have fallen after 2 seconds?
  • Step 1: Understand that the stone is dropped from a height of 45 m.
  • Step 2: Know that the formula to calculate the distance fallen is s = (1/2)gt², where g is the acceleration due to gravity (approximately 9.8 m/s²) and t is the time in seconds.
  • Step 3: Substitute the values into the formula. Here, g = 9.8 m/s² and t = 2 seconds.
  • Step 4: Calculate t² (2 seconds squared). This is 2 * 2 = 4.
  • Step 5: Now, multiply g (9.8) by t² (4). This gives you 9.8 * 4 = 39.2.
  • Step 6: Multiply this result by (1/2). So, (1/2) * 39.2 = 19.6.
  • Step 7: The distance fallen after 2 seconds is 19.6 meters.
  • Free Fall – The motion of an object falling under the influence of gravity alone, without any air resistance.
  • Kinematic Equations – Equations that describe the motion of objects, particularly under constant acceleration, such as the equation for distance fallen in free fall.
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