Physics, asked by aditya271103, 10 months ago

if the displace ment of an object is proportional to square of time the object moves with --_------------acceleration​

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Answered by pratyushsharma697
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Answer:

If the displacement of an object is proportional to the square of the time taken then the body is moving with uniformly accelerated motion as it will follow Newton's second equation of motion for a particular initial velocity, which can be given by, s=ut+21at2.

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Answered by BrainlyPARCHO
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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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