Question

a body start from rest, acquire a velocity of 10 m/s . what is the time taken , if its uniform acceleration is 5 ms-2​

Answer 1

$\large\red{\underline{\underline{\bf{\blue{Given}}}}}$

• Initial velocity (u) = 0 --(start from rest)

• Final velocity (v) = 10 m/s

• Acceleration (a) = 5 m/s²

$\large\red{\underline{\underline{\bf{\blue{To\:Find}}}}}$

• Time taken (t)

$\large\red{\underline{\underline{\bf{\blue{Solution}}}}}$

By using 1st equation of motion, We get,

➡ v = u + at

By putting all the given values in this equation, we get,

↣ 10 = 0 + 5 × t

↣ 10 = 5t

↣ t = 10/5 = 2 seconds

Hence,

• Time taken (t) = 2 seconds

Answer 2

It is given that body starting from rest acquires a velocity of 10 m/s accelerating uniformly at 5 m/s²

We have to find time taken by body to acquire that velocity.

Solution

As the body starts from rest so initial velocity i.e. u = 0

Using 1st equation of motion :

☛ v = u + at

Putting all values :

➲ 10 = 0 + 5(t)

➲ 10 = 5t

➲ t = 10/5

➲ t = 2 s

So, time taken by body to acquire that velocity = 2 seconds.

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Some more equations

☛ s = ut + ½ at²

☛ a = (v - u)/t

☛ v² - u² = 2as