Question

A person walks 4metres east in 1second,then walks 3metres north in 1second determine average speed and average velocity​

Answer 1

$\large\underline{\bigstar{\sf Given-}}$

• Person walks 4m towards east in 1s and 3m towards north in 1s

$\large\underline\bigstar{\sf To \: Find-}$

• Average Speed
• Average Velocity

$\large\underline{\bigstar{\sf Formula \: Used-}}$

$\color{violet}\bullet\underline{\boxed{\sf Average \: speed =\dfrac{Total \: Distance}{Total \: Time}}}$

$\color{violet}\bullet\underline{\boxed{\sf Average \: Velocity=\dfrac{Displacement}{Time}}}$

$\large\underline{\bigstar{\sf Solution-}}$

$\implies{\sf Average \: Speed=\dfrac{Distance}{Time}}$

$\implies{\sf \dfrac{4+3}{2}}$

$\implies{\sf \dfrac{7}{2} }$

$\color{red}\implies{\sf Average \: Speed=3.5\:m/s}$

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Calculate Displacement by using PGT

$\implies{\sf h^2=p^2+b^2 }$

$\implies{\sf h^2=3^2+4^2}$

$\implies{\sf h^2=9+16 }$

$\color{orange}\implies{\sf h=5\:m }$

$\implies{\sf Average\: Velocity=\dfrac{Displacement}{Time}}$

$\implies{\sf \dfrac{5}{2} }$

$\color{red}\implies{\sf Average \: Velocity=2.5\:m/s}$

$\large\underline{\bigstar{\sf Answer-}}$

Average speed = 3.5 m/s

Average Velocity = 2.5 m/s