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A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10 m/s², with what velocity will it strike the ground?
- a)10 m/s
- b)20 m/s
- c)25 m/s
- d)30 m/s
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A ball is gently dropped from a height of 20 m. If its velocity increa...
To find the velocity with which the ball will strike the ground, we can use the equations of motion under uniform acceleration. The relevant equation here is:
v2=u2+2as
where:
- v is the final velocity
- u is the initial velocity (which is 0 since the ball is gently dropped)
- a is the acceleration due to gravity (10 m/s² in this case)
- s is the distance fallen (20 m)
Substitute the known values into the equation:
Community Answer
A ball is gently dropped from a height of 20 m. If its velocity increa...
Given data:
- Initial height (h) = 20 m
- Acceleration (a) = 10 m/s²
Calculating final velocity:
- Using the kinematic equation: v² = u² + 2as
- Initial velocity (u) = 0 m/s (as the ball is dropped)
- Substituting the values in the equation, we get:
v² = 0 + 2 * 10 * 20
v² = 400
v = √400
v = 20 m/s
Conclusion:
The ball will strike the ground with a velocity of 20 m/s. Therefore, the correct answer is option 'B) 20 m/s'.
- Initial height (h) = 20 m
- Acceleration (a) = 10 m/s²
Calculating final velocity:
- Using the kinematic equation: v² = u² + 2as
- Initial velocity (u) = 0 m/s (as the ball is dropped)
- Substituting the values in the equation, we get:
v² = 0 + 2 * 10 * 20
v² = 400
v = √400
v = 20 m/s
Conclusion:
The ball will strike the ground with a velocity of 20 m/s. Therefore, the correct answer is option 'B) 20 m/s'.
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A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10 m/s², with what velocity will it strike the ground?a)10 m/sb)20 m/sc)25 m/sd)30 m/sCorrect answer is option 'B'. Can you explain this answer?
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