a car starts from rest and moves with an acceleration of 2m/s² . what is the velocity of car at the end of 10 sec.
Answers
Given:
- Initial velocity of a car ( u ) = 0 m/s
- Acceleration of a car ( a ) = 2 m/s²
- Time taken by a car ( t )= 10 sec
To Find:
- Final velocity of a car ( v ) = ?
Solution:
By using first equation of motion
➺ v = u + at
➺ v = 0 + 2 × 10
➺ v = 0 + 20
➺ v = 20 m/s
“So, the final velocity of a car is 20 m/s”
Answer :
➥ The Final velocity of a car = 20 m/s
Given :
➤ Acceleration of a car (a) = 2 m/s²
➤ Time taken by a car (t) = 10 sec
To Find :
➤ Final velocity of a car (v) = ?
Required Solution :
For solving this question, 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...
In the above Question we are provided that, Initial velocity is 0 m/s because the car starts from rest, Acceleration is 2 m/s² and Time taken by a car is 10 sec. And we need to find Final velocity of a car.
Now, we have also a Initial velocity of a car,
- Initial velocity of a car = 0 m/s
- Final velocity of a car = ?
We can find Final velocity 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) !
From first equation of motion
⇛ v = u + at
⇛ v = 0 + 2 × 10
⇛ v = 0 + 20
⇛ v = 20 m/s
║Hence, the Final velocity of a car is 20 m/s².║
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.
- u is the intial velocity.
- a is the acceleration.
- t is the time taken.
- s is the distance.