Question

A body starts from rest from origin with an acceleration of 1m/s2. Find its velocity and displacement after time t.

Answer 1

u = 0 m/s (rest)

a = 1 m/s²

For finding velocity after time (t):-

We know, $v = u + at$.

∴ v = 0 + 1·t = (t) m/s.

Again, we know $S = ut + \frac{1}{2} at^2$.

∴ S = 0·t + ½·1·t² = (t²/2) m.

Therefore, velocity and displacement after time (t) is (t) m/s and (t²/2) m respectively.

More:

Those physical quanities which follow the rule of vector addition are called as vectors. And it is not necessary that they have both magnitude and direction.

Answer 2

Explanation:

u = 0

a = 1 m/s²

t = t

a = v - u / t

1 = v - 0 / t

t = v

Therefore the velocity will be equal to t

S = ut + 1/2at²

S = 0 + 1/2 x 1 x t²

S = t² / 2

Therefore the displacement will be equal to t²/2