Question

A body initially at rest is moving with uniform acceleration 'a'. Its velocity after n seconds is 'v'. The displacement of the body at least 2second is?
1. V(n+1)/n
2. 2v(n-1)/n
3. V(n-1)/n

Answer 1

Answer:

What would you like to ask?

11th

Physics

Motion in a Straight Line

Acceleration

A body initially at rest is...

PHYSICS

A body initially at rest is moving with uniform acceleration a. Its velocity after n seconds is v. The displacement of the body in last 2 s is :

MEDIUM

Share

Study later

ANSWER

u=0,a (uniform acceleration),t=n

v (final velocity after n seconds)

v=0+an⟹v=an⟶(1)

s

n

(distance travelled in n seconds)=0+

2

1

an

2

s

n−2

=

2

1

a(n−2)

2

Distance travelled in least 2 seconds =s

n

−s

n

−2

=

2

1

a[n

2

−(n−2)

2

]=

2

1

a[n

2

−n

2

−4+4x]=2an−2a⟶(2)

From equation 1 and 2,

x=2a(n−1)

x=

u

2v

(n−1)