Question

A body starts to slide over a horizontal surface with an velocity 0.5m/s due to friction. It's velocity decrease at rate of 0.025 m/s. find time to stop body

Answer 1

$\huge\underline\blue{\sf Answer:}$

$\large\red{\boxed{\sf Time(t)=10sec }}$

$\huge\underline\blue{\sf Solution:}$

$\large\underline\pink{\sf Given: }$

• Initial velocity (u) = 0.5m/s

• Final Velocity (v) = 0

• Accleration (a) =$\sf{0.025m/{s}^{2}}$

$\large\underline\pink{\sf To\:Find: }$

• Time to stop body(t) = ?

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By first equation of motion :

$\large{♡}$$\large{\boxed{\sf v=u+at }}$

On Putting value:

$\large\implies{\sf 0=0.5+(-0.05t )}$

$\large\implies{\sf -0.5=-0.05t}$

$\large\implies{\sf t={\frac{-0.5}{0.05}}}$

$\large\implies{\sf t=10sec }$

$\huge\red{♡}$$\large\red{\boxed{\sf Time(t)=10sec }}$