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Q. A body moving with a uniform acceleration and initial speed 'u' covers a distance...
Q. A body moving with a uniform acceleration and initial speed 'u' covers a distance 'S' in a particular time-interval.Another body moving with initial speed 'v' and same uniform acceleration covers the distance 'S' in double the time.Find the time taken by the first body to cover the distance.
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Let us say the acceleration of the object is `am/s^2` and the time is `t` seconds.
Using equations of motion;
`S = ut+1/2at^2`
For the first object;
`S = ut+1/2at^2 ----(1)`
For the second object;
`S = v(2t)+1/2a(2t)^2 `
`S = 2vt+2at^2 ----(2)`
`S-4S = 2vt-4ut`
`4ut-2vt = 3S`
`t = (3S)/(2(2u-v))`
So the time taken for the first body to cover the distance is `(3S)/(2(2u-v))`
Posted by jeew-m on August 3, 2013 at 1:04 PM (Answer #1)
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