If a vehicle is accelerated to 5 ms−2, how much time does it take to attain a velocity of 27
ms−1 which initially starts with 2ms−1?
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Answer:
Time = 5 seconds
Explanation:
Acceleration of the vehicle is
We need to find the time in which the vehicle attains a velocity of initially starts with
We know that,
First equation of motion :
⇒ v = u + at
Where,
- u(initial velocity) =
- v(final velocity) =
- a(acceleration) =
Substitute the values,
⇒ 27 = 2 + 5(t)
⇒ 27 = 2 + 5t
⇒ 27 - 2 = 5t
⇒ 25 = 5t
⇒ 25/5 = t
⇒ 5 = t
∴ The time taken is 5 seconds
_____________________
Note:
First equation of motion is v = u + at
Where,
- v = final velocity.
- u = initial velocity.
- a = acceleration.
- t = time.
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