Home
Class 12
PHYSICS
A body is moving from rest under constan...

A body is moving from rest under constance accelration and let `S_1` be the displacement in the first `(p-1)` sec and `S_2` be the displacement in the first p sec. The displacement in `(p^2-p+1)^(th)` sec will be

A

`S_1+S_2`

B

`S_1S_2`

C

`S_1-S_2`

D

`(S_1)/(S_2)`

Text Solution

Verified by Experts

The correct Answer is:
A
From `S=ut+(1)/(2)at^2`
`S_1=(1)/(2)a(P-1)^2` and `S_2=(1)/(2)aP^2` [As `u=0`]
From `S_n=u+(a)/(2)(2n-1)`
`S_((P^2-P+1)^(th))=(a)/(2)[2(P^2-P+1)-1]=(a)/(2)[2P^2-2P+1]`
It is clear that `S_((P^2-P+1)^(th))=S_1+S_2`
Promotional Banner

Similar Questions

Explore conceptually related problems

A body is moving from rest under constant acceleration and let S_1 be the displacement in the first (p - 1) sec and S_2 be the displacement in the first p sec. The displacement in (p^2 - p + 1) sec. will be

A particle starts moving from rest under a constant acceleration. It travels a distance x in the first 10 sec and distance y in the next 10 sec, then

A particle starts moving from rest under uniform acceleration.It travels a distance x in the first 2 sec and a distance in the next 2sec.If u=nx then n is

A particle starts moving from the position of rest under a constant acc. It travels a distance x in the first 10 sec and distance y in the next 10 sec, then:

A particle starts from rest with uniform acceleration and covers 26m in 7th second find its displacement in 9th sec

A particle experiences a constant acceleration for 20 sec after starting from rest. If it travels distance S_1 in the first 10 sec and a distance S_2 in the next 10 sec, Then

A body starting from rest moves with constant acceleration. The ratio of distance covered by the body during the 5th sec to that covered in 5 sec is

Starting from rest a particle is first accelerated for time t_1 with constant acceleration a_1 and then stops in time t_2 with constant retardation a_2. Let v_1 be the average velocity in this case and s_1 the total displacement. In the second case it is accelerating for the same time t_1 with constant acceleration 2a_1 and come to rest with constant retardation a_2 in time t_3. If v_2 is the average velocity in this case and s_2 the total displacement, then