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A ball attains 100 m of maximum height, when it is thrown vertically upward. Initial velocity of the ball will be
  • a)
    9.8 m/s
  • b)
    19.6 m/s
  • c)
    29.4 m/s
  • d)
    44.27 m/s
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A ball attains 100 m of maximum height, when it is thrown vertically u...
Neglecting air resistance (actually relevant in this question), assuming that we're talking about the Earth at sea level with the median acceleration of gravity, and calculating the 100 meters based on the height of the initial velocity measurement, and assuming that the ball is thrown upward at precisely a 90 degree angle with the horizontal, then the problem is simply one of conservation of energy:

g h = (v^2) / 2

Where c is the vertical component of velocity, or speed, in this problem, then we can solve for v:

v = (2 g h)^(1/2)

For 100 m, this is:

44.274 m/s..

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A ball attains 100 m of maximum height, when it is thrown vertically upward. Initial velocity of the ball will be a)9.8 m/s b)19.6 m/sc)29.4 m/sd)44.27 m/s Correct answer is option 'D'. Can you explain this answer?
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