Unit 7 · Equation of motion for free fall

Acceleration Due to Gravity

ScienceSubject
8 minEstimated read
Activity 7.2

Calculation of acceleration due to gravity

Method
  • Take a small stone and a stopwatch.
  • Drop the stone from different heights, for example from the first floor and then the second floor of a building.
  • Drop the stone in such a way that no downward force is applied by the fingers on the stone, that is, just release the stone from the hand by loosening the fingers.
  • Tell a friend to record the time taken by the stone to reach the ground using a stopwatch.
  • Using the data so obtained and the equations of motion h = ut + ½at² and v² = u² + 2ah, calculate the acceleration and the final velocity v of the stone when it hits the ground. While calculating, take the initial velocity of the stone u = 0.
  • Use a table like the one below for data collection and the necessary calculations.
Data collectionhta = 2h/t²Average accelerationv = √(2ah)Result
First timea₁ == (a₁ + a₂ + a₃) ÷ 3v₁ = √(2ah₁)
Second timea₂ =v₂ = √(2ah₂)
Third timev₃ = √(2ah₃)
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