A ball is thrown horizontally from a height of 20 m. How long does it take to hi

Practice Questions

Q1
A ball is thrown horizontally from a height of 20 m. How long does it take to hit the ground? (2019)
  1. 1 s
  2. 2 s
  3. 3 s
  4. 4 s

Questions & Step-by-Step Solutions

A ball is thrown horizontally from a height of 20 m. How long does it take to hit the ground? (2019)
  • Step 1: Identify the height from which the ball is thrown. In this case, the height (h) is 20 meters.
  • Step 2: Understand that the ball is in free fall, so we can use the equation of motion for free fall: h = (1/2)gt².
  • Step 3: Recognize that g (acceleration due to gravity) is approximately 9.8 m/s².
  • Step 4: Substitute the known values into the equation: 20 = (1/2)(9.8)t².
  • Step 5: Simplify the equation: 20 = 4.9t² (since (1/2) * 9.8 = 4.9).
  • Step 6: To isolate t², divide both sides by 4.9: t² = 20 / 4.9.
  • Step 7: Calculate the right side: t² ≈ 4.08.
  • Step 8: Take the square root of both sides to find t: t ≈ √4.08.
  • Step 9: Calculate the square root: t ≈ 2.02 seconds.
  • Step 10: Round the answer to the nearest whole number if needed: t ≈ 2 seconds.
  • Free Fall – The motion of an object under the influence of gravity alone, without any other forces acting on it.
  • Kinematic Equations – Equations that describe the motion of objects, particularly how distance, time, and acceleration are related.
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