Question

a ball starts rolling from rest and attains a velocity of 30m/s in 3 minutes.find its acceleration using equation of motion if it is uniformly accelerated​

Answer 1

$\huge\sf\pink{Answer}$

☞ Acceleration = 0.17 m/s²

━━━━━━━━━━━━━

$\huge\sf\blue{Given}$

✭ Initial Velocity (u) = 0 m/s

✭ Final Velocity (v) = 30 m/s

✭ Time = 3 minutes

━━━━━━━━━━━━━

$\huge\sf\gray{To \:Find}$

◈ The acceleration of the body?

━━━━━━━━━━━━━

$\huge\sf\purple{Steps}$

So here we shall first convet 3 minutes to seconds

»» 1 minute = 60 seconds

»» 3 minute = 60 × 3

»» 180 seconds

The acceleration of the body can be found with the help of the first equation of motion, that is,

$\underline{\boxed{\sf v = u+at}}$

Substituting the given values,

➝ $\sf v=u+at$

➝ $\sf 30 = 0+a\times 180$

➝ $\sf 30 = 180a$

➝ $\sf \dfrac{30}{180} = a$

➝ $\sf \orange{Acceleration = 0.17 \ m/s^2}$

━━━━━━━━━━━━━━━━━━