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# 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?

147 Points
11 years ago

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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Vineeth Chennabhoina
14 Points
4 years ago
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.