A ball when dropped from thetop of the building it takes 4 s to reach the ground find the height of the building (value of acceleration due to gravity 10ms^-2)
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CLASS 9 CH 8 PHYSICS
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Answer:
- The height (H) of the Building is 80 meters.
Given:
- Time taken (t) = 4 Sec.
- Acceleration due to gravity (g) = 10 m/s²
Explanation:
As the question states that, Body is dropped from the top
Therefore, Initial velocity (u) will be Zero.
From Second Kinematic Equation we Know,
⇒ S = u t + 1 / 2 a t²
Where,
- S Denotes Distance.
- u Denotes Initial velocity.
- a Denotes acceleration
- t Denotes time taken.
Now,
⇒ S = u t + 1 / 2 a t²
Substituting the values,
⇒ H = u t + 1 / 2 g t²
∵ [ S = H ; a = g ]
⇒ H = 0 × 4 + 1 / 2 × 10 × (4)²
⇒ H = 0 + 1 / 2 × 10 × 16
⇒ H = 1 / 2 × 10 × 16
⇒ H = 10 × 8
⇒ H = 80
⇒ H = 80 m.
∴ The height (H) of the Building is 80 meters.
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