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Answers
Answer :
➥ The final velocity of a trolley = 32 cm/s
Given :
➤ Acceleration of a trolley (a) = 4 cm/s²
➤ Time taken by a trolley (t) = 8 sec
To Find :
➤ Final velocity of a trolley (v) = ?
Solution :
We can Acceleration by using the first equation of motion which says v = u + at.
The trolley is on the inclined plane.
Therefore, we have Intial velocity of a trolley, Acceleration of a trolley and it's time taken by a trolley,
- Intial velocity of a right (u) = 0 cm/s
- Acceleration of a trolley (a) = 4 cm/s²
- Time taken by a trolley (t) = 8 sec
☃️ So let's find the final velocity of a trolley by using the formula:
From first equation of motion
→ v = u + at
→ v = 0 + 4 × 8
→ v = 0 + 32
→ v = 32 cm/s
║Hence, the final velocity of a trolley is 32 cm/s.║
Some related equations :
⪼ v = u + at
⪼ s = ut + ½ at²
⪼ 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.
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➜ Initial velocity of the trolley, u = 0 (at the rest)
➜ Acceleration of the trolley , a = 4 cm/s²
= 0.04 m/s²
➜Time taken, t = 8 seconds
Velocity of the trolley (v) = ?
As per first law of motion,we know that
➞ V = 0 + 0.04 × 8 m/s
➞ V = 0.04 × 8 m/s