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With which of the following represents that radius of a corcle is increasing with tie at a rate of 2units/sec ?

  • Option 1)

    \frac{dr}{dt} = \frac{1}{2}

  • Option 2)

    \frac{dr}{dt} = -2

  • Option 3)

    \frac{dr}{dt} = \frac{-1}{}2

  • Option 4)

    \frac{dr}{dt} = 2

 

Answers (1)

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As we have learned

Sign convention for Rate measurement -

If it is increasing then it is positive otherwise negative.

-

 

\because radius is incraesing with  time , so dr/dt >

 

 

 

 


Option 1)

\frac{dr}{dt} = \frac{1}{2}

Option 2)

\frac{dr}{dt} = -2

Option 3)

\frac{dr}{dt} = \frac{-1}{}2

Option 4)

\frac{dr}{dt} = 2

Posted by

Himanshu

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