Question

derive the equation for uniform accelerated motion for the displacement covered in its n second of its motion​

Answer 1

Explanation:

Using equation of motion

1 S = ut + 1/2 at²

The distance traveled in n second

S₁ = un + 1/2 an²

The distance traveled in (n-1) second

S¹ = u(n-1) + 1/2 a(n − 1)²

Now, the distance traveled in nth second is

Sn = S₁ - S²

Sn = un + 1/2an²-(u(n-1)) + 1/2a(n − 1)²)

Sn = u + a(n - 1/2)

The equation for uniform accelerated motion for the displacement covered in its nth second

of its motion is Sn = u + a(n - 1/2).