Question

If the displacement of an object is proportional to the square of time, then the object is moving with:
Uniform Velocity
Uniform Acceleration
Increasing Acceleration
Decreasing Acceleration

Answer 1

Answer:

uniform acceleration

Answer 2

$\large \green{ \fcolorbox{gray}{black}{ ☑ \: \textbf{Verified \: answer}}}$

Object moves with Uniform Acceleration.

EXPLANATION

Displacement is proportional to square of time

⠀⠀⠀⠀⠀⠀⠀⠀⠀s ∝ t²

⠀⠀⠀⠀⠀⠀⠀⠀⠀s = kt²

⠀⠀⠀ , where k is constant of proportionality.

Differentiating Displacement , we get Velocity (v)

⠀⠀⠀⠀⠀⠀⠀ ds/dt = 2kt

Differentiating Velocity , we get Acceleration (a)

⠀⠀⠀⠀⠀⠀ dv/dt = 2k = constant.

ᗇ So, object moves with Constant Acceleration.