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A stone is dropped from 100m …

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A stone is dropped from 100m tower and at the same time another stone is thrown in upward direction at 25 m/s if both the stones are collinear then at what hight will they colloid?
  • 2 answers

Sirsti Sngm 7 years, 1 month ago

The answe will be 21.6m

Gaurav Seth 7 years, 1 month ago

Let "t" = time after which both stones meet

"S" = distance travelled by the stone dropped from the top of tower

(100-S) = distance travelled by the projected stone.
◆ i) For stone dropped from the top of tower

-S = 0 + 1/2 (-10) t²

or, S = 5t²
◆ ii) For stone projected upward

(100 - S) = 25t + 1/2 (-10) t²

= 25t - 5t²


Adding i) and ii) , We get

100 = 25t

or t = 4 s
Therefore, Two stones will meet after 4 s.
◆ ¡¡¡) Put value of t = 4 s in Equation i) , we get 

S = 5 × 16 

= 80 m.
Thus , both the stone will meet at a distance of 80 m from the top of tower.

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