Question

A body initially at rest and moves with an uniform acceleration . Find the ratio of displacements covered by the body in successive intervals of time

Answer 1

Answer:

Explanation:

Distance travelled by a body in 'n'th second is

s

n

​

=u+

2

a

​

(2n−1)

Distance travelled in 'n' seconds is

s=un+

2

1

​

an

2

u is zero since the body starts from rest.

s

s

n

​

​

=

2

1

​

an

2

2

a

​

(2n−1)

​

Therefore, the ratio =

s

s

n

​

​

=

n

2

​

−

n

2

1

​