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A ball falls from a building and covers 5m in 10s. What is the acceleration?
  • a)
    0.1 m/s2
  • b)
    0.2 m/s2
  • c)
    9.81 m/s2
  • d)
    10 m/s2
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A ball falls from a building and covers 5m in 10s. What is the acceler...
Assuming the ball falls with zero initial velocity, then according to the second equation of motion, s = ut + (1/2)at2 = (1/2)at2. When we put t = 10s, we get a = 0.1 m/s2.
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A ball falls from a building and covers 5m in 10s. What is the acceler...
To find the acceleration of the ball, we can use the equation of motion:

\(\text{distance} = \text{initial velocity} \times \text{time} + \frac{1}{2} \times \text{acceleration} \times \text{time}^2\)

Given that the ball covers a distance of 5m in a time of 10s, we can substitute these values into the equation:

\(5 = 0 \times 10 + \frac{1}{2} \times \text{acceleration} \times 10^2\)

Simplifying the equation, we get:

\(5 = 5 \times \text{acceleration}\)

Dividing both sides of the equation by 5, we find:

\(\text{acceleration} = 1\)

Therefore, the acceleration of the ball is 1 m/s².

However, none of the given options match the calculated value. Therefore, we need to re-evaluate our solution.

Analyzing the problem, we can see that the ball is falling from a building, which means it is subject to the acceleration due to gravity. The acceleration due to gravity on Earth is approximately 9.81 m/s².

Therefore, the correct answer is option 'C' - 9.81 m/s².

Explanation:

- The equation of motion is used to relate the distance, initial velocity, time, and acceleration.
- By substituting the given values into the equation, we can solve for the acceleration.
- The given options do not match the calculated value, indicating a mistake in the solution.
- The acceleration due to gravity on Earth is approximately 9.81 m/s², which is the correct answer in this case.
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A ball falls from a building and covers 5m in 10s. What is the acceleration?a)0.1 m/s2b)0.2 m/s2c)9.81 m/s2d)10 m/s2Correct answer is option 'A'. Can you explain this answer?
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