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A stone is drop from height of 80 m assuming no year resistance calculate the time it take for the stone to hit the ground use appropriate patient of motion and explain its step of your solution?
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A stone is drop from height of 80 m assuming no year resistance calcul...
Understanding the problem:
The problem states that a stone is dropped from a height of 80m with no air resistance, and we need to calculate the time it takes for the stone to hit the ground.
Using the equation of motion:
We can use the equation of motion to solve this problem. The equation of motion for an object in free fall is:
\[ s = ut + \frac{1}{2}at^2 \]
Identifying the variables:
- \( s = 80m \) (height from which the stone is dropped)
- \( u = 0 \) m/s (initial velocity as the stone is dropped)
- \( a = 9.8 \) m/s\(^2\) (acceleration due to gravity)
- \( t \) (time taken for the stone to hit the ground)
Solving for time:
Using the equation of motion, we can substitute the known values and solve for time:
\[ 80 = 0 \times t + \frac{1}{2} \times 9.8 \times t^2 \]
\[ 80 = 4.9t^2 \]
\[ t^2 = \frac{80}{4.9} \]
\[ t^2 = 16.33 \]
\[ t = \sqrt{16.33} \]
\[ t ≈ 4.04 \text{ seconds} \]
Final answer:
Therefore, it will take approximately 4.04 seconds for the stone to hit the ground when dropped from a height of 80 meters with no air resistance.
The problem states that a stone is dropped from a height of 80m with no air resistance, and we need to calculate the time it takes for the stone to hit the ground.
Using the equation of motion:
We can use the equation of motion to solve this problem. The equation of motion for an object in free fall is:
\[ s = ut + \frac{1}{2}at^2 \]
Identifying the variables:
- \( s = 80m \) (height from which the stone is dropped)
- \( u = 0 \) m/s (initial velocity as the stone is dropped)
- \( a = 9.8 \) m/s\(^2\) (acceleration due to gravity)
- \( t \) (time taken for the stone to hit the ground)
Solving for time:
Using the equation of motion, we can substitute the known values and solve for time:
\[ 80 = 0 \times t + \frac{1}{2} \times 9.8 \times t^2 \]
\[ 80 = 4.9t^2 \]
\[ t^2 = \frac{80}{4.9} \]
\[ t^2 = 16.33 \]
\[ t = \sqrt{16.33} \]
\[ t ≈ 4.04 \text{ seconds} \]
Final answer:
Therefore, it will take approximately 4.04 seconds for the stone to hit the ground when dropped from a height of 80 meters with no air resistance.
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A stone is drop from height of 80 m assuming no year resistance calculate the time it take for the stone to hit the ground use appropriate patient of motion and explain its step of your solution?
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A stone is drop from height of 80 m assuming no year resistance calculate the time it take for the stone to hit the ground use appropriate patient of motion and explain its step of your solution? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A stone is drop from height of 80 m assuming no year resistance calculate the time it take for the stone to hit the ground use appropriate patient of motion and explain its step of your solution? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone is drop from height of 80 m assuming no year resistance calculate the time it take for the stone to hit the ground use appropriate patient of motion and explain its step of your solution?.
A stone is drop from height of 80 m assuming no year resistance calculate the time it take for the stone to hit the ground use appropriate patient of motion and explain its step of your solution? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A stone is drop from height of 80 m assuming no year resistance calculate the time it take for the stone to hit the ground use appropriate patient of motion and explain its step of your solution? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone is drop from height of 80 m assuming no year resistance calculate the time it take for the stone to hit the ground use appropriate patient of motion and explain its step of your solution?.
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