Question

derive an expression to find the velocity of a body in straight line motion​

Answer 1

Answer:

s n =u+a(n1/2)

Explanation:

Solution

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Consider a particle moving with uniform acceleration ‘a’.Let u be the initial velocity of the particle.

Distance travelled during nth second = Distance travelled in ‘n’ seconds – Distance travelled in (n-1) seconds

s

n

=un+1/2an

2

–[u(n−1)+1/2a(n−1)

2

]

=un+1/2an²–[un−u+1/2a(n

2

−2n+1)]

=un+1/2an

2

–[un−u+1/2an²−an+1/2a]

=un+1/2an

2

–un+u–1/2an

2

+an–1/2a

=u+an–1/2a

s

n

=u+a(n–1/2)

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