Question

An object start from rest and accelerates at 10.0m/s2 for entire distance of 400m. How long did it take the object to travel this distance?

Answer 1

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

$\large\red{\boxed{\sf Time(t)=8.9sec}}$

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

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

• Acceleration (a) =$\sf{10m/s^2}$

• Distance (s) = 400m

• Initial Velocity (u) = 0

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

• Time (t) = ?

━━━━━━━━━━━━━━━━━━━━━━━━

$\large{\boxed{\sf s=ut+\frac12at^2 }}$

$\large\implies{\sf 400=0+\frac12×10×t^2}$

$\large\implies{\sf t^2=\frac{400×2}{10}}$

$\large\implies{\sf t^2=80 }$

$\large\implies{\sf t=8.9sec}$

$\huge\red{♡}$$\large\red{\boxed{\sf Time(t)=8.9sec}}$

Hence ,

Time taken by object to travel this distance is 8.9 sec.