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An object is dropped from a height of 80 m. How long will it take to reach the g

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Question: An object is dropped from a height of 80 m. How long will it take to reach the ground?

Options:

  1. 4 s
  2. 5 s
  3. 6 s
  4. 8 s

Correct Answer: 5 s

Solution: 

Using the formula: h = 0.5 * g * t², where h = 80 m and g = 9.8 m/s². Solving for t gives t = sqrt(2h/g) = sqrt(2*80/9.8) ≈ 4.04 s, approximately 4 s.

An object is dropped from a height of 80 m. How long will it take to reach the g

Practice Questions

Q1
An object is dropped from a height of 80 m. How long will it take to reach the ground?
  1. 4 s
  2. 5 s
  3. 6 s
  4. 8 s

Questions & Step-by-Step Solutions

An object is dropped from a height of 80 m. How long will it take to reach the ground?
  • Step 1: Identify the height from which the object is dropped. In this case, the height (h) is 80 meters.
  • Step 2: Know the acceleration due to gravity (g), which is approximately 9.8 meters per second squared (m/s²).
  • Step 3: Use the formula for the height of a falling object: h = 0.5 * g * t².
  • Step 4: Rearrange the formula to solve for time (t): t = sqrt(2h/g).
  • Step 5: Substitute the values into the formula: t = sqrt(2 * 80 / 9.8).
  • Step 6: Calculate the value inside the square root: 2 * 80 = 160, then divide by 9.8 to get approximately 16.33.
  • Step 7: Take the square root of 16.33 to find t: t ≈ 4.04 seconds.
  • Step 8: Round the answer to the nearest whole number if needed. In this case, it is approximately 4 seconds.
  • Free Fall – Understanding the motion of an object under the influence of gravity without air resistance.
  • Kinematic Equations – Application of kinematic equations to solve for time, distance, and acceleration in motion problems.
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