Physics-
General
Easy

Question

A balloon starts rising from the ground with an acceleration of 1.25 blank m divided by s to the power of 2 end exponent after 8s, a stone is released from the balloon. The stone will left parenthesis g minus 10 blank m divided by s to the power of 2 end exponent right parenthesis

  1. Reach the ground in 4 second  
  2. Begin to move down after being released  
  3. Have a displacement of 50 blank m  
  4. Cover a distance of 40 blank m in reaching the ground  

The correct answer is: Reach the ground in 4 second


    When the stone is released from the balloon. Its height
    h equals fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent equals fraction numerator 1 over denominator 2 end fraction cross times 1.25 cross times open parentheses 8 close parentheses to the power of 2 end exponent equals 40 blank m and velocity
    v equals a t equals 1.25 cross times 8 equals 10 blank m divided by s
    Time taken by the stone to reach the ground
    t equals fraction numerator v over denominator g end fraction open square brackets 1 plus square root of 1 plus fraction numerator 2 g h over denominator v to the power of 2 end exponent end fraction end root close square brackets equals fraction numerator 10 over denominator 10 end fraction open square brackets 1 plus square root of 1 plus fraction numerator 2 cross times 10 cross times 40 over denominator open parentheses 10 close parentheses to the power of 2 end exponent end fraction end root close square brackets equals 4 s e c

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