Question

derieve the distance travelled by a body moving with a uniform acceleration in a particular second.

Answer 1

Answer:

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)