Question

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​

Answer 1

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

• 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

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

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

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

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

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

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

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

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

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

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

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

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