if the displacement of an object is proportional to square of time than, the object moves that.
(b) uniform acceleration
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if the displacement of an object is proportional to square of time when the object moves in uniform acceleration. It follows Newton's second equation of motion for a particular initial velocity .
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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.
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