Derive distance covered by body during nth second of motion .
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The distance travelled by a body in the nth second is given by the expression (2 + 3n). Find the initial velocity and acceleration. Also, find its velocity at the end of 2 seconds. - Hint:- We had to only compare the given distance with the formula to find the distance travelled in nth second i.e. d=u+a(n−12).
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consider a particle moving with uniform acceleration 'a' let u initial velocity of the particle
distance travelled during nth second=distance travelled nth second -distance travelled in [n-1] seconds
sn=un+1/2an2-{u[n-1]+1/2a[n-1]2}
un+1/2an2-{un-u+12a[n2-2n+1]}
un+1/2an2-un+u-1/2an2+an-1/2a
u+an-1/2a
sn=u+a[n-1/2]
i hope this may help you friend
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