body starting from rest and moving with an uniform acceleration of 3 m/s²..What is its velocity after 15s?
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Answer:
45 m/s . I think this will help you
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Answer :
›»› The Final velocity of body = 45 m/s
Given :
- Initial velocity of body = 0 m/s
- Acceleration of body = 3 m/s²
- Time taken by body = 15 sec
To Calculate :
- Final velocity of body = ?
How To Calculate ?
❒ Here in this question we are provided that a body is in rest so it's initial velocity will be 0 m/s (because from rest), Acceleration of body is 3 m/s², and Time taken is also given which is 15 sec.
❒ To calculate the Final velocity of body we'll use the first equation of motion which says v = u + at
Where,
- 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.
Calculation :
† From first equation of motion
⇒ v = u + at
⇒ v = 0 + 3 × 15
⇒ v = 0 + 45
⇒ v = 45
║Hence, the Final velocity of body is 45 m/s.║
Additional Information :
★ First equation of motion :
⪼ v = u + at
Where,
- 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.
★ Second equation of motion :
⪼ s = ut + ½ at²
Where,
- s is the Distance travelled in m.
- u is the Initial velocity in m/s.
- t is the Time taken in second.
- a is the Acceleration in m/s².
★ Third equation of motion :
⪼ v² = u² + 2as
Where,
- v is the Final velocity in m/s.
- u is the Initial velocity in m/s.
- a is the Acceleration in m/s².
- s is the Distance travelled in m.
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