A body starts from rest and moves with a uniform acceleration. The ratio of the distance covered in the nth second to distance covered in n seconds is
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Distance travelled by a body in 'n'th second is
Sn = u + a/2 (2n-1)
Distance travelled in 'n' seconds is
s = un + 1 / 2 an^ 2
u is zero since the body starts from rest
Sn = a (2n-1)
S 2
1 an ^ 2
2
Therefore, the ratio = Sn = 2 - 1
S n n^2
MORE INFORMATION:-
- Acceleration is the rate of change of the velocity of an object with respect to time.
- Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the orientation of the net force acting on that object.
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