Question

The displacement of a body is given by s = 1/2gt^2?, where g is acceleration due to gravity. the velocity of
body at any time t is​

Answer 1

Given :

• Displacement of a body = s = 1/2(at²)
• g = acceleration

To find :

• Velocity of the body at time t

Solution :

★ Second equation of motion:-

• s = ut + 1/2(at²)

★ Here:-

• Initial velocity (u) = 0
• acceleration (a) = gravitational acceleration (g)

★ First equation of motion:-

• v = u + at

→ v = 0 + at

Substituting the value a = g

→ v = gt

Answer :

• The velocity at any time is gt

Answer 2

Yes, displacement of a body is given by $\Delta h = gt^2$ if the body is under free fall.

We know, in such cases, $v = u + gt$.

Since initial velocity = 0 m/s,

∴ $v = gt$ (ans.)

Thus, velocity of any body at any time $(t)$ is $(gt)$.