A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive…

A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive force mkv2 where v is it speed. The maximum height attained by the ball is :
  1. 12ktan-1ku2g
  2. 1kln1+ku22g 
  3. 1ktan-1ku22g
  4. 12kln1+ku2g

Solution

Fne =ma

-mg-mkv2=mvdvds

vdvds=-g-kv2

-v00vdvg+kv2=0hds=hmax

hmax=12King+kv02g

 

Asked in: JEE Main 2020 (04 Sep Shift 2)

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