Question

A body is travelling with a velocity 30m/s . It is given an acceleration 5m/s . What will be its velocity after 4s​

Answer 1

Given :

• Initial velocity = 30m/s
• Acceleration = 5m/s²
• Time interval = 4s

To Find :

• Final velocity of body after the given interval of time.

Solutíon :-

First equation of kinematics :

⇒ a = (v - u) / t

⇒ v = u + at

⇒ v = 30 + (5 × 4)

⇒ v = 30 + 20

⇒ v = 50m/s

Answer 2

Answer :

➥ The velocity of a body after 4 sec = 50 m/s

Given :

➤ Initial velocity of a body = 30 m/s

➤ Acceleration of a body = 5 m/s²

➤ Time taken by a body = 4 sec

To Find :

➤ Final velocity of a body = ?

Required Solution :

Before we start our solution, let's first know about Final velocity.

The last velocity of an object after a period of time is called final velocity.

• Final velocity is a vector quantity.

• Final velocity measures the speed and direction of a moving body.

• The SI unit of final velocity is m/s.

• Final velocity is represented by v.

Let's solve this Question...

We can find Final velocity of a body by using the first equation of motion which says v = u + at.

Here,

• v is the Final velocity in m/s.
• u is the Initial velocity in m/s.
• a is the Acceleration in m/s².
• t is the Time taken in second.

✎ So let's find Final velocity (v) !

⇛ v = u + at

⇛ v = 30 + 5 × 4

⇛ v = 30 + 20

⇛ v = 50 m/s

║Hence, the Final velocity of a body is 50 m/s.║

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Some related equations :

⪼ First equation of motion: v = u + at

⪼ Second equation of motion: s = ut + ½ at²

⪼ Third equation of motion: v² = u² + 2as

Where,

• v is the final velocity in m/s.
• u is the intial velocity in m/s.
• a is the acceleration in m/s².
• t is the time taken second.
• s is the distance in m.

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