Question

A body initially at rest is moving with uniform acceleration a. Its velocity after n second is . The
displacement of the body in last 2 secondsis​

Answer 1

Answer:

Explanation:

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)