A body starts from rest and travels with uniform acceleration a to make a displacement of 6 m . If its velocity after making the displacement is 6 m/s , then its uniform acceleration a is 6 m/s2 2 m/s2 3 m/s2 4 m/s2
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58
Answer:
Explanation:
u= 0
v= 6m/s
let s be the displacement
v^2 - u^2 = 2as
v^2 = 2as
6^2 =2 x a x 6
2a = 6
a=3m/s^2
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Given,
Displacement of the body=6m,
Velocity of the body=6m/s
To Find,
Uniform acceleration of the body.
Solution,
Body starts from rest means its initial velocity is zero.
Means, u=0,
After displacement its velocity is 6m/s.
Means final velocity, v=6m/s
Displacement by the body=6m
To find acceleration of the motion we have to use the 3rd law of motion,
v²-u²=2as
⇒6²-0=2×a×6
⇒36=12a
⇒a=3m/s²
Hence, the uniform acceleration of the body is 3m/s².
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