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A child drops a ball from a height of 10m. Assume that it's velocity increases uniformly at the rate of 10m/s sq. find (1) velocity with which the ball strikes the ground and (2) the time taken by the ball to reach the ground
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A child drops a ball from a height of 10m. Assume that it's velocity i...
Problem
A child drops a ball from a height of 10m. Assume that it's velocity increases uniformly at the rate of 10m/s sq. Find (1) velocity with which the ball strikes the ground and (2) the time taken by the ball to reach the ground.
Solution
Given:
- Initial velocity (u) = 0 m/s
- Acceleration (a) = 10 m/s² (downwards due to gravity)
- Final velocity (v) = ?
- Distance (s) = 10 m
- Time (t) = ?
Calculating the final velocity
Final velocity (v) can be calculated using the following formula:
v² = u² + 2as
Substituting the given values:
v² = 0² + 2(10)(10)
v² = 200
v = √200
v ≈ 14.14 m/s
Calculating the time taken
Time taken (t) can be calculated using the following formula:
s = ut + ½at²
Substituting the given values:
10 = 0 + ½(10)t²
10 = 5t²
t² = 2
t = √2
t ≈ 1.41 s
Answer
The velocity with which the ball strikes the ground is approximately 14.14 m/s and the time taken by the ball to reach the ground is approximately 1.41 s.
Community Answer
A child drops a ball from a height of 10m. Assume that it's velocity i...
velocity is 10√2 m/s and time is √2 seconds
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A child drops a ball from a height of 10m. Assume that it's velocity increases uniformly at the rate of 10m/s sq. find (1) velocity with which the ball strikes the ground and (2) the time taken by the ball to reach the ground
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