Physics, asked by gudu7166, 10 months ago

If a person takes 2 minutes to jog around a circular field of radius 7m. Find distance,displcement,speed and velocity after 1.5 round​

Answers

Answered by Anonymous
4

\color{darkblue}\underline{\underline{\sf Given-}}

  • Person take 2 min to Complete one round of Circular field of radius (R) = 7m

\color{darkblue}\underline{\underline{\sf To \: Find-}}

  • Distance
  • Displacement
  • Speed
  • Velocity

\bullet\color{coral}\underline{Distance-}

Person has completed 1.5 round ,

One round is of = 2πr

and other half = πr

\implies{\sf Distance=2πr+πr }

\implies{\sf Distance = 2×3.14×7+3.14×7}

\implies{\sf Distance=43.9+21.9}

\color{red}\implies{\sf Distance=65.9m}

\bullet\color{coral}\underline{Displacement-}

Shortest distance Travelled is refered to as displacement.

here , displacement will be = 2R

\implies{\sf Displacement=2×7}

\red{color}\implies{\sf Displacement=14m}

\bullet\color{coral}\underline{Speed-}

\color{navy}\blacksquare\boxed{\sf Speed=\dfrac{Distance}{Time}}

Time for one round is given = 2 min

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 2 × 60

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 120 s

Therefore , for 1.5 round will be = 120 + 60

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\color{orange}{\sf 180s}

\implies{\sf Speed=\dfrac{65.9}{180}}

\color{red}\implies{\sf Speed = 0.36m/s }

\bullet\color{coral}\underline{Velocity-}

\color{navy}\blacksquare\boxed{\sf Velocity=\dfrac{Displacement}{Time}}

\implies{\sf Velocity = \dfrac{14}{180}}

\color{red}\implies{\sf Velocity=0.07m/s}

\color{darkblue}\underline{\underline{\sf Answer-}}

\bullet\color{red}{\sf Distance=65.9m}

\bullet\color{red}{\sf Displacement= 14m}

\bullet\color{red}{\sf Speed=0.36m/s}

\bullet\color{red}{\sf Velocity=0.07m/s}

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