An aracanut took 1 s to reach the ground from the tree. What will be the approximate height of the tree? (g= 10 m/s2)
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Answer:
Given:-
- Time taken ,t = 1s
- Acceleration due to gravity ,g = 9.8 m/s²
- Final velocity ,v = 0m/s
To Find:-
- Height ,h
Solution:-
Here , we apply 1st & 3rd equation of motion to find the height of tree.
By using 1st equation of motion
• v = u+at
Substitute the value we get
→ 0 = u + 1×(-9.8)
→ 0 = u -9.8
→ -u = -9.8
→ u = 9.8
∴ The initial velocity of the nut is 9.8 m/s
Now , Using 3rd equation of motion
• v² = u² +2ah
Substitute the value we get
→ 0² = 9.8² + 2× (-9.8) × h
→ 0 = 96.04 + (-19.6) ×h
→ -96.04 = - 19.6 ×h
→ h = -96.04/19.6
→ h = 4.9 m
∴ The height of the areca but tree is 4.9 m .
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0
Answer:
The answer is 4.9 m
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