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Question

A particle has an initial velocity 3 stack i with hat on top plus 4 stack j with hat on topand an acceleration of blank 0.4 stack i with hat on top plus 0.3 stack j with hat on top. blankIts speed after 10 s is

  1. 10 unit  
  2. 7 unit  
  3. 7 square root of 2 u n i t  
  4. 8.5 unit  

The correct answer is: 7 square root of 2 u n i t


    u equals 3 stack i with hat on top plus 4 stack j with hat on top comma blank a equals 0.4 stack i with hat on top plus 0.3 stack j with hat on top
    Speed v equals u plus a t
    equals 3 stack i with hat on top plus 4 stack j with hat on top plus open parentheses 0.4 stack i with hat on top plus 0.3 stack j with hat on top close parentheses 10
    equals 3 stack i with hat on top plus 4 stack j with hat on top plus 4 stack i with hat on top plus 3 stack j with hat on top equals 7 stack i with hat on top plus 7 stack j with hat on top
    v equals square root of 7 to the power of 2 end exponent plus 7 to the power of 2 end exponent end root equals 7 square root of 2 blank u n i t

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