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A toy car is moving on a closed track whose curved portions are semicircles of radius 1m. The adjacent graph describes the variation of speed of the car with distance moved by it (starting from point P). The time t required for the car to complete one lap is equal to 6k second. Find k (take piln2~~2) |
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Answer» Solution :For the motion from `A` to `B` applying `s=vt`, `2=0.25 t_(AB)` `t_(AB)=8` For the motion from `B` to `C` `-(dv)/(DL)=(0.125)/((pi)/(2))=(1)/(4pi)=-(dv)/(dl)xx(dt)/(dt)` `int_(0)^(t_(BC))(dt)/(4pi)=int_(0.25)^(0.125)-(dv)/(v)` `rArr t_(BC)=4piln2` `t_(BC)=t_(CD)=t_(EF)=t_(FG)` `t_(AB)=t_(DE)` total time will be sum of all times `=16(1+piln2)` 
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