a stone is dropped down a deep well from rest. the well is 50 m deep.how long will it take to reach the bottom of the well?given a =9.8 m/s
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Answer :
3.2 seconds
Solution :
Since the stone is dropped from rest
Initial velocity of the stone ( u ) = 0 m/s
Acceleration ( a ) = 9.8 m/s²
Distance traveled by stone ( s ) = 50 m
From second equation of motion
⇒ s = ut + 1/2 * at²
⇒ 50 = 0( t ) + 1/2 * 9.8t²
⇒ 50 = 0 + 4.9t²
⇒ 50 = 4.9t²
⇒ 50 / 4.9 = t²
⇒ 10.2 = t²
⇒ t² = √10.2 = 3.2 ( approx )
Therefore the stone takes 3.2 seconds to reach the bottom of the well.
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