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pallavi pradeep bhardwaj Grade: 12
        

A body starts slipping down on an incline plane and moves half meter in half second .How long will it take to next half metre?

7 years ago

Answers : (2)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear pallavi


motion for 1/2 meter  


so s= ut +1/2 a t2


 1/2 =0+1/2 * a *(1/2)2


 a=4 m/sec2


now motion for 1 meter


 s= ut +1/2 a t2


 1=0+ 1/2 * 4 *t2


t=1/ √2


so time taken for next 1/2 meter is  t'=1/ √2   -1/2  sec


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7 years ago
Vineeth Chennabhoina
14 Points
										
First we find the acceleration of the body. For the first half second, the distance covered is half a meter. As we solve s= ut + 1/2at2, we get a=4m/s2. Intially the body didn’t have any velocity, but as we go through the first half second, the body gains a velocity v= u +at , as this is the velocity the body gains at the end of first half second and it has no initial velocity, substituting a=4 and t=0.5, we get v=2 m/s.
 
Finally, the time taken for the second half second will be
 
s = ut + ½at2. Here s is 0.5, u=2m/s, a=4m/s. We get a quadratic in t. Which would be
4t2 + 4t – 1 = 0 Solving by the finding roots of x, we get 1.656/8, which is 0.207 seconds, rounding it off to 0.21 seconds.
3 months ago
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