Q-57. A body travelling with a velocity of
20ms -7 gains an acceleration of 10.5
-2
and travels a distance of 100 m.
The final velocity of the body is
ms
A) 20 ms -1
B
50 ms
- 1
©
C) 80 ms
-1
D) 90 ms -1
Answers
Answered by
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Correct Question :-
A body travelling with a velocity of 20 m/s and gains an acceleration of 10.5 m/s² and travels a distance of 100 m. Find the final velocity of the body.
A) 20 m/s
B) 50 m/s
C) 80 m/s
D) 90 m/s
Answer :-
Given :
- Initial velocity (u) = 20 m/s
- Acceleration (a) = 10.5 m/s²
- Distance (s) = 100 m
To find :
- Final velocity (v)
According to the question,
By using Newton third equation of motion,
→ v² = u² + 2as
Where,
- v stands for Final velocity
- u stand for Initial velocity
- a stands for Acceleration
- s stands for Distance
→ Substituting the values,
→ v² = (20)² + 2 × 10.5 × 100
→ v² = 400 + 2100
→ v² = 2500
→ v = 50
.°. The final velocity is 50 m/s.
So,the correct option is B) 50 m/s..
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