Question

PHYSICS Motion Derive the equation for uniform accelerated motion for the displacement covered in its nth
second of its motion​

Answer 1

Answer:

Explanation:Using equation of motion

s=ut+21​at2

The distance traveled in n second

s1​=un+21​an2

The distance traveled in (n-1) second

s1​=u(n−1)+21​a(n−1)2

Now, the distance traveled in nth second is

sn​=s1​−s2​

sn​=un+21​an2−(u(n−1))+21​a(n−1)2)

sn​=u+a(n−21​)

The equation for uniform accelerated motion for the displacement covered in its nth second of its motion is sn​=u+a(n−21​).

Hence, The correct option is B