A book is dropped from the building top and reaches the ground in 8Seconds. Find the velocity with which it will hit the ground if the value of'g' is 9.8 m/s2.
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Answer:
81
Explanation:
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Given :
Time taken by book to reach ground = 8s
To Find :
Velocity with which book hit the ground.
Solution :
■ First of all we need to find height of the building.
- Since acceleration due to gravity has constant magnitude, we can apply equation of kinematics to solve this problem.
- For a body falling freely under the action of gravity, g is taken positive
❇ Second equation of kinematics :
➠ H = ut + 1/2 gt²
For free falling object : u = 0
➠ H = 1/2 gt²
➠ H = 1/2 (9.8)(8)²
➠ H = 313.6m
❇ Third equation of kinematics :
➠ v² - u² = 2gH
➠ v² = 2gH
➠ v² = 2 × 10 × 313.6
➠ v² = 6272
➠ v = 79.19 m/s
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