a particle starts moving from rest under uniform acceleration.It travels a distance x in first two seconds and a distance y in next two seconds.If y=nx ,then n=
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using s=1/2at2 distance travelled in 2secs is x and distance travelled in 4secs is y
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Answer:
n=3
Explanation:
Let the acceleration of the particle be α.
Initial velocit= vi=0
∴ Distance travelled in 2 seconds: x=vit1/2 αt^2 where t=2 s
∴ x=0+1/2 α(2) ^2
=2α ..........(1)
Distance travelled in 4 seconds:
S=vit+ 1/2αt^2
where t=4 s
∴ S=0+1/2α(4)^2
=8α ............(2)
⟹ Distance traveled in last 2 seconds: y=8α−2α
=6α
∴x/y = 6α/2α
⟹y=3x
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