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? (Take g = 10 m/s²) (2023)
  1. 4 s
  2. 8 s
  3. 10 s
  4. 12 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? (Take g = 10 m/s²) (2023)
  • Step 1: Identify the height from which the object is dropped. In this case, the height (h) is 80 meters.
  • Step 2: Identify the acceleration due to gravity (g). Here, g is given as 10 m/s².
  • Step 3: Use the formula for the distance fallen under gravity: h = 0.5 * g * t².
  • Step 4: Rearrange the formula to solve for time (t). The rearranged formula is t = sqrt(2h/g).
  • Step 5: Substitute the values of h and g into the rearranged formula: t = sqrt(2 * 80 / 10).
  • Step 6: Calculate the value inside the square root: 2 * 80 = 160, and 160 / 10 = 16.
  • Step 7: Find the square root of 16, which is 4.
  • Step 8: Conclude that it will take 4 seconds for the object to reach the ground.
  • Free Fall – The motion of an object under the influence of gravity alone, without any air resistance.
  • Kinematic Equations – Equations that describe the motion of objects, particularly those in free fall, relating distance, time, and acceleration.
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