A package weighing 15kg falls from a height of 20 metres. with what velocity does it hit the ground? show all the necessary steps.
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Given :
A package weighting 15kg falls from a height of 20 metres.
To Find :
Velocity of the package when it hits the ground.
Solution :
Since constant acceleration due to gravity acts on the object throughout the motion, equation of kinematics can be applied to solve this question
- For a body falling freely under the action of gravity, g is taken positive.
Here in this question initial velocity of the package is zero hence it is a case of free fall.
Applying third equation of kinematics;
➙ v² - u² = 2gH
- v denotes final velocity
- u denotes initial velocity
- g denotes acc. due to gravity
- H denotes height
By substituting the given values;
➙ v² - 0² = 2(10)(20)
➙ v² = 400
➙ v = √400
➙ v = 20 m/s
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